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Volumn 4, Issue 5 PART A, 2000, Pages

Lattice gauge fields and discrete non-commutative Yang-Mills theory

Author keywords

Lattice Gauge Field Theories; Non Commutative Geometry

Indexed keywords


EID: 7644232480     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2000/05/023     Document Type: Article
Times cited : (81)

References (103)
  • 1
    • 0004261668 scopus 로고
    • Academic Press
    • A. Connes, Noncommutative geometry Academic Press, 1994; G. Landi, An introduction to noncommutative spaces and their geometries, Springer-Verlag, 1997; J.C. Várilly, An introduction to noncommutative geometry, physics/9709045; J. Madore, An introduction to noncommutative geometry and its physical applications, Cambridge University Press, 1999.
    • (1994) Noncommutative Geometry
    • Connes, A.1
  • 2
    • 0004071393 scopus 로고    scopus 로고
    • Springer-Verlag
    • A. Connes, Noncommutative geometry Academic Press, 1994; G. Landi, An introduction to noncommutative spaces and their geometries, Springer-Verlag, 1997; J.C. Várilly, An introduction to noncommutative geometry, physics/9709045; J. Madore, An introduction to noncommutative geometry and its physical applications, Cambridge University Press, 1999.
    • (1997) An Introduction to Noncommutative Spaces and Their Geometries
    • Landi, G.1
  • 3
    • 0003447814 scopus 로고    scopus 로고
    • physics/9709045
    • A. Connes, Noncommutative geometry Academic Press, 1994; G. Landi, An introduction to noncommutative spaces and their geometries, Springer-Verlag, 1997; J.C. Várilly, An introduction to noncommutative geometry, physics/9709045; J. Madore, An introduction to noncommutative geometry and its physical applications, Cambridge University Press, 1999.
    • An Introduction to Noncommutative Geometry
    • Várilly, J.C.1
  • 4
    • 0003444916 scopus 로고    scopus 로고
    • Cambridge University Press
    • A. Connes, Noncommutative geometry Academic Press, 1994; G. Landi, An introduction to noncommutative spaces and their geometries, Springer-Verlag, 1997; J.C. Várilly, An introduction to noncommutative geometry, physics/9709045; J. Madore, An introduction to noncommutative geometry and its physical applications, Cambridge University Press, 1999.
    • (1999) An Introduction to Noncommutative Geometry and Its Physical Applications
    • Madore, J.1
  • 7
    • 33744508759 scopus 로고
    • A stringy nature needs just two constants
    • G. Veneziano, A stringy nature needs just two constants, Europhys. Lett. 2 (1986) 199; D.J. Gross and P.F. Mende, String theory beyond the planck scale, Nucl. Phys. B 303 (1988) 407; D. Amati, M. Ciafaloni and G. Veneziano, Can space-time be probed below the string size?, Phys. Lett. B 216 (1989) 41.
    • (1986) Europhys. Lett. , vol.2 , pp. 199
    • Veneziano, G.1
  • 8
    • 27844526209 scopus 로고
    • String theory beyond the planck scale
    • G. Veneziano, A stringy nature needs just two constants, Europhys. Lett. 2 (1986) 199; D.J. Gross and P.F. Mende, String theory beyond the planck scale, Nucl. Phys. B 303 (1988) 407; D. Amati, M. Ciafaloni and G. Veneziano, Can space-time be probed below the string size?, Phys. Lett. B 216 (1989) 41.
    • (1988) Nucl. Phys. B , vol.303 , pp. 407
    • Gross, D.J.1    Mende, P.F.2
  • 9
    • 0001995482 scopus 로고
    • Can space-time be probed below the string size?
    • G. Veneziano, A stringy nature needs just two constants, Europhys. Lett. 2 (1986) 199; D.J. Gross and P.F. Mende, String theory beyond the planck scale, Nucl. Phys. B 303 (1988) 407; D. Amati, M. Ciafaloni and G. Veneziano, Can space-time be probed below the string size?, Phys. Lett. B 216 (1989) 41.
    • (1989) Phys. Lett. B , vol.216 , pp. 41
    • Amati, D.1    Ciafaloni, M.2    Veneziano, G.3
  • 10
    • 0011350148 scopus 로고    scopus 로고
    • hep-th/9310187
    • J. Fröhlich and K. Gawedzki, Conformal field theory and geometry of strings, hep-th/9310187; P.-M. Ho and Y.-S. Wu, Noncommutative geometry and D-branes, Phys. Lett. B 398 (1997) 52 [hep-th/9611233]; A.H. Chamseddine, The spectral action principle in noncommutative geometry and the superstring, Phys. Lett. B 400 (1997) 87 [hep-th/9701096]; An effective superstring spectral action, Phys. Rev. D 56 (1997) 3555 [hep-th/9705153]; F. Lizzi and R.J. Szabo, Target space duality in noncommutative geometry, Phys. Rev. Lett. 79 (1997) 3581 [hep-th/9706107]; Duality symmetries and noncommutative geometry of string spacetimes, Comm. Math. Phys. 197 (1998) 667 [hep-th/9707202]; Noncommutative geometry and string duality, hep-th/9904064.
    • Conformal Field Theory and Geometry of Strings
    • Fröhlich, J.1    Gawedzki, K.2
  • 11
    • 0042542983 scopus 로고    scopus 로고
    • Noncommutative geometry and D-branes
    • hep-th/9611233
    • J. Fröhlich and K. Gawedzki, Conformal field theory and geometry of strings, hep-th/9310187; P.-M. Ho and Y.-S. Wu, Noncommutative geometry and D-branes, Phys. Lett. B 398 (1997) 52 [hep-th/9611233]; A.H. Chamseddine, The spectral action principle in noncommutative geometry and the superstring, Phys. Lett. B 400 (1997) 87 [hep-th/9701096]; An effective superstring spectral action, Phys. Rev. D 56 (1997) 3555 [hep-th/9705153]; F. Lizzi and R.J. Szabo, Target space duality in noncommutative geometry, Phys. Rev. Lett. 79 (1997) 3581 [hep-th/9706107]; Duality symmetries and noncommutative geometry of string spacetimes, Comm. Math. Phys. 197 (1998) 667 [hep-th/9707202]; Noncommutative geometry and string duality, hep-th/9904064.
    • (1997) Phys. Lett. B , vol.398 , pp. 52
    • Ho, P.-M.1    Wu, Y.-S.2
  • 12
    • 0040360893 scopus 로고    scopus 로고
    • The spectral action principle in noncommutative geometry and the superstring
    • hep-th/9701096
    • J. Fröhlich and K. Gawedzki, Conformal field theory and geometry of strings, hep-th/9310187; P.-M. Ho and Y.-S. Wu, Noncommutative geometry and D-branes, Phys. Lett. B 398 (1997) 52 [hep-th/9611233]; A.H. Chamseddine, The spectral action principle in noncommutative geometry and the superstring, Phys. Lett. B 400 (1997) 87 [hep-th/9701096]; An effective superstring spectral action, Phys. Rev. D 56 (1997) 3555 [hep-th/9705153]; F. Lizzi and R.J. Szabo, Target space duality in noncommutative geometry, Phys. Rev. Lett. 79 (1997) 3581 [hep-th/9706107]; Duality symmetries and noncommutative geometry of string spacetimes, Comm. Math. Phys. 197 (1998) 667 [hep-th/9707202]; Noncommutative geometry and string duality, hep-th/9904064.
    • (1997) Phys. Lett. B , vol.400 , pp. 87
    • Chamseddine, A.H.1
  • 13
    • 0001523516 scopus 로고    scopus 로고
    • An effective superstring spectral action
    • hep-th/9705153
    • J. Fröhlich and K. Gawedzki, Conformal field theory and geometry of strings, hep-th/9310187; P.-M. Ho and Y.-S. Wu, Noncommutative geometry and D-branes, Phys. Lett. B 398 (1997) 52 [hep-th/9611233]; A.H. Chamseddine, The spectral action principle in noncommutative geometry and the superstring, Phys. Lett. B 400 (1997) 87 [hep-th/9701096]; An effective superstring spectral action, Phys. Rev. D 56 (1997) 3555 [hep-th/9705153]; F. Lizzi and R.J. Szabo, Target space duality in noncommutative geometry, Phys. Rev. Lett. 79 (1997) 3581 [hep-th/9706107]; Duality symmetries and noncommutative geometry of string spacetimes, Comm. Math. Phys. 197 (1998) 667 [hep-th/9707202]; Noncommutative geometry and string duality, hep-th/9904064.
    • (1997) Phys. Rev. D , vol.56 , pp. 3555
  • 14
    • 0001588968 scopus 로고    scopus 로고
    • Target space duality in noncommutative geometry
    • hep-th/9706107
    • J. Fröhlich and K. Gawedzki, Conformal field theory and geometry of strings, hep-th/9310187; P.-M. Ho and Y.-S. Wu, Noncommutative geometry and D-branes, Phys. Lett. B 398 (1997) 52 [hep-th/9611233]; A.H. Chamseddine, The spectral action principle in noncommutative geometry and the superstring, Phys. Lett. B 400 (1997) 87 [hep-th/9701096]; An effective superstring spectral action, Phys. Rev. D 56 (1997) 3555 [hep-th/9705153]; F. Lizzi and R.J. Szabo, Target space duality in noncommutative geometry, Phys. Rev. Lett. 79 (1997) 3581 [hep-th/9706107]; Duality symmetries and noncommutative geometry of string spacetimes, Comm. Math. Phys. 197 (1998) 667 [hep-th/9707202]; Noncommutative geometry and string duality, hep-th/9904064.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 3581
    • Lizzi, F.1    Szabo, R.J.2
  • 15
    • 0032475788 scopus 로고    scopus 로고
    • Duality symmetries and noncommutative geometry of string spacetimes
    • hep-th/9707202
    • J. Fröhlich and K. Gawedzki, Conformal field theory and geometry of strings, hep-th/9310187; P.-M. Ho and Y.-S. Wu, Noncommutative geometry and D-branes, Phys. Lett. B 398 (1997) 52 [hep-th/9611233]; A.H. Chamseddine, The spectral action principle in noncommutative geometry and the superstring, Phys. Lett. B 400 (1997) 87 [hep-th/9701096]; An effective superstring spectral action, Phys. Rev. D 56 (1997) 3555 [hep-th/9705153]; F. Lizzi and R.J. Szabo, Target space duality in noncommutative geometry, Phys. Rev. Lett. 79 (1997) 3581 [hep-th/9706107]; Duality symmetries and noncommutative geometry of string spacetimes, Comm. Math. Phys. 197 (1998) 667 [hep-th/9707202]; Noncommutative geometry and string duality, hep-th/9904064.
    • (1998) Comm. Math. Phys. , vol.197 , pp. 667
  • 16
    • 7644238098 scopus 로고    scopus 로고
    • hep-th/9904064
    • J. Fröhlich and K. Gawedzki, Conformal field theory and geometry of strings, hep-th/9310187; P.-M. Ho and Y.-S. Wu, Noncommutative geometry and D-branes, Phys. Lett. B 398 (1997) 52 [hep-th/9611233]; A.H. Chamseddine, The spectral action principle in noncommutative geometry and the superstring, Phys. Lett. B 400 (1997) 87 [hep-th/9701096]; An effective superstring spectral action, Phys. Rev. D 56 (1997) 3555 [hep-th/9705153]; F. Lizzi and R.J. Szabo, Target space duality in noncommutative geometry, Phys. Rev. Lett. 79 (1997) 3581 [hep-th/9706107]; Duality symmetries and noncommutative geometry of string spacetimes, Comm. Math. Phys. 197 (1998) 667 [hep-th/9707202]; Noncommutative geometry and string duality, hep-th/9904064.
    • Noncommutative Geometry and String Duality
  • 17
    • 0642363984 scopus 로고    scopus 로고
    • M-theory as a matrix model: A conjecture
    • hep-th/9610043
    • T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M-theory as a matrix model: a conjecture, Phys. Rev. D 55 (1997) 5112 [hep-th/9610043].
    • (1997) Phys. Rev. D , vol.55 , pp. 5112
    • Banks, T.1    Fischler, W.2    Shenker, S.H.3    Susskind, L.4
  • 18
  • 19
    • 0041524804 scopus 로고    scopus 로고
    • Noncommutative geometry and matrix theory: Compactification on tori
    • hep-th/9711162
    • A. Connes, M.R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998) 003 [hep-th/9711162].
    • (1998) J. High Energy Phys. , vol.2 , pp. 003
    • Connes, A.1    Douglas, M.R.2    Schwarz, A.3
  • 20
    • 33645906285 scopus 로고    scopus 로고
    • D-branes and the noncommutative torus
    • hep-th/9711165
    • M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165]; Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background B-field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; D. Bigatti, Non commutative geometry and super Yang-Mills theory, Phys. Lett. B 451 (1999) 324 [hep-th/9804120]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Super Yang-Mills theory on noncommutative torus from open strings interactions, Phys. Lett. B 450 (1999) 119 [hep-th/9810179]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056.
    • (1998) J. High Energy Phys. , vol.2 , pp. 008
    • Douglas, M.R.1    Hull, C.2
  • 21
    • 0032517021 scopus 로고    scopus 로고
    • Noncommutative geometry from 0-branes in a background B-field
    • hep-th/9803031
    • M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165]; Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background B-field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; D. Bigatti, Non commutative geometry and super Yang-Mills theory, Phys. Lett. B 451 (1999) 324 [hep-th/9804120]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Super Yang-Mills theory on noncommutative torus from open strings interactions, Phys. Lett. B 450 (1999) 119 [hep-th/9810179]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056.
    • (1998) Nucl. Phys. B , vol.528 , pp. 185
    • Cheung, Y.-K.E.1    Krogh, M.2
  • 22
    • 0001705655 scopus 로고    scopus 로고
    • Non commutative geometry and super Yang-Mills theory
    • hep-th/9804120
    • M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165]; Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background B-field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; D. Bigatti, Non commutative geometry and super Yang-Mills theory, Phys. Lett. B 451 (1999) 324 [hep-th/9804120]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Super Yang-Mills theory on noncommutative torus from open strings interactions, Phys. Lett. B 450 (1999) 119 [hep-th/9810179]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056.
    • (1999) Phys. Lett. B , vol.451 , pp. 324
    • Bigatti, D.1
  • 23
    • 33646067774 scopus 로고    scopus 로고
    • Noncommutative geometry from strings and branes
    • hep-th/9810072
    • M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165]; Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background B-field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; D. Bigatti, Non commutative geometry and super Yang-Mills theory, Phys. Lett. B 451 (1999) 324 [hep-th/9804120]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Super Yang-Mills theory on noncommutative torus from open strings interactions, Phys. Lett. B 450 (1999) 119 [hep-th/9810179]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056.
    • (1999) J. High Energy Phys. , vol.2 , pp. 016
    • Ardalan, F.1    Arfaei, H.2    Sheikh-Jabbari, M.M.3
  • 24
    • 0000013493 scopus 로고    scopus 로고
    • Super Yang-Mills theory on noncommutative torus from open strings interactions
    • hep-th/9810179
    • M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165]; Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background B-field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; D. Bigatti, Non commutative geometry and super Yang-Mills theory, Phys. Lett. B 451 (1999) 324 [hep-th/9804120]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Super Yang-Mills theory on noncommutative torus from open strings interactions, Phys. Lett. B 450 (1999) 119 [hep-th/9810179]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056.
    • (1999) Phys. Lett. B , vol.450 , pp. 119
    • Sheikh-Jabbari, M.M.1
  • 25
    • 0033553743 scopus 로고    scopus 로고
    • Noncommutative open string and D-brane
    • hep-th/9812219
    • M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165]; Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background B-field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; D. Bigatti, Non commutative geometry and super Yang-Mills theory, Phys. Lett. B 451 (1999) 324 [hep-th/9804120]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Super Yang-Mills theory on noncommutative torus from open strings interactions, Phys. Lett. B 450 (1999) 119 [hep-th/9810179]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056.
    • (1999) Nucl. Phys. B , vol.550 , pp. 151
    • Chu, C.-S.1    Ho, P.-M.2
  • 26
    • 33646049373 scopus 로고    scopus 로고
    • D-branes and deformation quantization
    • hep-th/9903205
    • M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165]; Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background B-field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; D. Bigatti, Non commutative geometry and super Yang-Mills theory, Phys. Lett. B 451 (1999) 324 [hep-th/9804120]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Super Yang-Mills theory on noncommutative torus from open strings interactions, Phys. Lett. B 450 (1999) 119 [hep-th/9810179]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056.
    • (1999) J. High Energy Phys. , vol.6 , pp. 030
    • Schomerus, V.1
  • 27
    • 0004229272 scopus 로고    scopus 로고
    • hep-th/9908056
    • M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165]; Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background B-field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; D. Bigatti, Non commutative geometry and super Yang-Mills theory, Phys. Lett. B 451 (1999) 324 [hep-th/9804120]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Super Yang-Mills theory on noncommutative torus from open strings interactions, Phys. Lett. B 450 (1999) 119 [hep-th/9810179]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056.
    • Magnetic Fields, Branes and Noncommutative Geometry
    • Bigatti, D.1    Susskind, L.2
  • 28
    • 0007084601 scopus 로고    scopus 로고
    • String theory and noncommutative geometry
    • hep-th/9908142
    • N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
    • (1999) J. High Energy Phys. , vol.9 , pp. 032
    • Seiberg, N.1    Witten, E.2
  • 29
    • 0034676918 scopus 로고    scopus 로고
    • Noncommutative Yang-Mills in IIB matrix model
    • hep-th/9908141
    • H. Aoki et al., Noncommutative Yang-Mills in IIB matrix model, Nucl. Phys. B 565 (2000) 176 [hep-th/9908141].
    • (2000) Nucl. Phys. B , vol.565 , pp. 176
    • Aoki, H.1
  • 30
    • 34347406191 scopus 로고
    • Quantized space-time
    • H.S. Snyder, Quantized space-time, Phys. Rev. 71 (1947) 38.
    • (1947) Phys. Rev. , vol.71 , pp. 38
    • Snyder, H.S.1
  • 31
    • 4243473139 scopus 로고    scopus 로고
    • Divergencies in a field theory on quantum space
    • T. Filk, Divergencies in a field theory on quantum space, Phys. Lett. B 376 (1996) 53.
    • (1996) Phys. Lett. B , vol.376 , pp. 53
    • Filk, T.1
  • 32
    • 0000907877 scopus 로고    scopus 로고
    • On the ultraviolet behaviour of quantum fields over noncommutative manifolds
    • hep-th/9804001
    • 4, Phys. Rev. Lett. 83 (1999) 476 [hep-th/9903077]; M.M. Sheikh-Jabbari, Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; T. Krajewski and R. Wulkenhaar, Perturbative quantum gauge fields on the noncommutative torus, hep-th/9903187.
    • (1999) Int. J. Mod. Phys. A , vol.14 , pp. 1305
    • Várilly, J.C.1    Gracia-Bondia, J.M.2
  • 33
    • 0034645836 scopus 로고    scopus 로고
    • Quantum field theory on noncommutative space-times and the persistence of ultraviolet divergences
    • hep-th/9812180
    • 4, Phys. Rev. Lett. 83 (1999) 476 [hep-th/9903077]; M.M. Sheikh-Jabbari, Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; T. Krajewski and R. Wulkenhaar, Perturbative quantum gauge fields on the noncommutative torus, hep-th/9903187.
    • (2000) Nucl. Phys. B , vol.567 , pp. 360
    • Chaichian, M.1    Demichev, A.2    Presnajder, P.3
  • 34
    • 0000029495 scopus 로고    scopus 로고
    • 4
    • hep-th/9903077
    • 4, Phys. Rev. Lett. 83 (1999) 476 [hep-th/9903077]; M.M. Sheikh-Jabbari, Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; T. Krajewski and R. Wulkenhaar, Perturbative quantum gauge fields on the noncommutative torus, hep-th/9903187.
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 476
    • Martin, C.P.1    Sanchez-Ruiz, D.2
  • 35
    • 0007318007 scopus 로고    scopus 로고
    • Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus
    • hep-th/9903107
    • 4, Phys. Rev. Lett. 83 (1999) 476 [hep-th/9903077]; M.M. Sheikh-Jabbari, Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; T. Krajewski and R. Wulkenhaar, Perturbative quantum gauge fields on the noncommutative torus, hep-th/9903187.
    • (1999) J. High Energy Phys. , vol.6 , pp. 015
    • Sheikh-Jabbari, M.M.1
  • 36
  • 37
    • 0034178732 scopus 로고    scopus 로고
    • Wilson loops in noncommutative Yang-Mills
    • hep-th/9910004
    • N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, Wilson loops in noncommutative Yang-Mills, Nucl. Phys. B 573 (2000) 573 [hep-th/9910004].
    • (2000) Nucl. Phys. B , vol.573 , pp. 573
    • Ishibashi, N.1    Iso, S.2    Kawai, H.3    Kitazawa, Y.4
  • 39
    • 0004339337 scopus 로고    scopus 로고
    • hep-th/0001215
    • I.Y. Aref'eva, D.M. Belov and A.S. Koshelev, A note on UV/IR for noncommutative complex scalar field, hep-th/0001215; I.Y. Aref'eva, D.M. Belov, A.S. Koshelev and O.A. Rytchkov, UV/IR mixing for noncommutative complex scalar field theory, 2. Interaction with gauge fields, hep-th/0003176; A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the noncommutative gauge theories, hep-th/0002075; M. V. Raamsdonk and N. Seiberg, Comments on noncommutative perturbative dynamics, J. High Energy Phys. 03 (2000) 035 [hep-th/0002186]; F. Zamora, On the operator product expansion in noncommutative quantum field theory, J. High Energy Phys. 05 (2000) 002 [hep-th/0004085].
    • A Note on UV/IR for Noncommutative Complex Scalar Field
    • Aref'eva, I.Y.1    Belov, D.M.2    Koshelev, A.S.3
  • 40
    • 6944254120 scopus 로고    scopus 로고
    • hep-th/0003176
    • I.Y. Aref'eva, D.M. Belov and A.S. Koshelev, A note on UV/IR for noncommutative complex scalar field, hep-th/0001215; I.Y. Aref'eva, D.M. Belov, A.S. Koshelev and O.A. Rytchkov, UV/IR mixing for noncommutative complex scalar field theory, 2. Interaction with gauge fields, hep-th/0003176; A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the noncommutative gauge theories, hep-th/0002075; M. V. Raamsdonk and N. Seiberg, Comments on noncommutative perturbative dynamics, J. High Energy Phys. 03 (2000) 035 [hep-th/0002186]; F. Zamora, On the operator product expansion in noncommutative quantum field theory, J. High Energy Phys. 05 (2000) 002 [hep-th/0004085].
    • UV/IR Mixing for Noncommutative Complex Scalar Field Theory, 2. Interaction with Gauge Fields
    • Aref'eva, I.Y.1    Belov, D.M.2    Koshelev, A.S.3    Rytchkov, O.A.4
  • 41
    • 0002289033 scopus 로고    scopus 로고
    • hep-th/0002075
    • I.Y. Aref'eva, D.M. Belov and A.S. Koshelev, A note on UV/IR for noncommutative complex scalar field, hep-th/0001215; I.Y. Aref'eva, D.M. Belov, A.S. Koshelev and O.A. Rytchkov, UV/IR mixing for noncommutative complex scalar field theory, 2. Interaction with gauge fields, hep-th/0003176; A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the noncommutative gauge theories, hep-th/0002075; M. V. Raamsdonk and N. Seiberg, Comments on noncommutative perturbative dynamics, J. High Energy Phys. 03 (2000) 035 [hep-th/0002186]; F. Zamora, On the operator product expansion in noncommutative quantum field theory, J. High Energy Phys. 05 (2000) 002 [hep-th/0004085].
    • The IR/UV Connection in the Noncommutative Gauge Theories
    • Matusis, A.1    Susskind, L.2    Toumbas, N.3
  • 42
    • 6444233853 scopus 로고    scopus 로고
    • Comments on noncommutative perturbative dynamics
    • hep-th/0002186
    • I.Y. Aref'eva, D.M. Belov and A.S. Koshelev, A note on UV/IR for noncommutative complex scalar field, hep-th/0001215; I.Y. Aref'eva, D.M. Belov, A.S. Koshelev and O.A. Rytchkov, UV/IR mixing for noncommutative complex scalar field theory, 2. Interaction with gauge fields, hep-th/0003176; A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the noncommutative gauge theories, hep-th/0002075; M. V. Raamsdonk and N. Seiberg, Comments on noncommutative perturbative dynamics, J. High Energy Phys. 03 (2000) 035 [hep-th/0002186]; F. Zamora, On the operator product expansion in noncommutative quantum field theory, J. High Energy Phys. 05 (2000) 002 [hep-th/0004085].
    • (2000) J. High Energy Phys. , vol.3 , pp. 035
    • Raamsdonk, M.V.1    Seiberg, N.2
  • 43
    • 0002549213 scopus 로고    scopus 로고
    • On the operator product expansion in noncommutative quantum field theory
    • hep-th/0004085
    • I.Y. Aref'eva, D.M. Belov and A.S. Koshelev, A note on UV/IR for noncommutative complex scalar field, hep-th/0001215; I.Y. Aref'eva, D.M. Belov, A.S. Koshelev and O.A. Rytchkov, UV/IR mixing for noncommutative complex scalar field theory, 2. Interaction with gauge fields, hep-th/0003176; A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the noncommutative gauge theories, hep-th/0002075; M. V. Raamsdonk and N. Seiberg, Comments on noncommutative perturbative dynamics, J. High Energy Phys. 03 (2000) 035 [hep-th/0002186]; F. Zamora, On the operator product expansion in noncommutative quantum field theory, J. High Energy Phys. 05 (2000) 002 [hep-th/0004085].
    • (2000) J. High Energy Phys. , vol.5 , pp. 002
    • Zamora, F.1
  • 44
    • 0042424209 scopus 로고    scopus 로고
    • hep-th/0003075
    • 3 theory from string theory, hep-th/0003113; Y. Kiem and S. Lee, Uv/ir mixing in noncommutative field theory via open string loops, hep-th/0003145; A. Bilal, C.-S. Chu and R. Russo, String theory and noncommutative field theories at one loop, hep-th/0003180; J. Gomis, M. Kleban, T. Mehen, M. Rangamani and S. Shenker, Noncommutative gauge dynamics from the string worldsheet, hep-th/0003215; A. Rajaraman and M. Rozali, Noncommutative gauge theory, divergences and closed strings, J. High Energy Phys. 04 (2000) 033 [hep-th/0003227]; H. Liu and J. Michelson, Stretched strings in noncommutative field theory, hep-th/0004013; P.-M. Ho and M. Li, Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity, hep-th/0004072; G. Arcioni, J.L. F. Barbon, J. Gomis and M.A. Vazquez-Mozo, On the stringy nature of winding modes in noncommutative thermal field theories, hep-th/0004080.
    • Invasion of the Giant Gravitons from Anti de Sitter Space
    • McGreevy, J.1    Susskind, L.2    Toumbas, N.3
  • 45
    • 6944246891 scopus 로고    scopus 로고
    • hep-th/0003113
    • 3 theory from string theory, hep-th/0003113; Y. Kiem and S. Lee, Uv/ir mixing in noncommutative field theory via open string loops, hep-th/0003145; A. Bilal, C.-S. Chu and R. Russo, String theory and noncommutative field theories at one loop, hep-th/0003180; J. Gomis, M. Kleban, T. Mehen, M. Rangamani and S. Shenker, Noncommutative gauge dynamics from the string worldsheet, hep-th/0003215; A. Rajaraman and M. Rozali, Noncommutative gauge theory, divergences and closed strings, J. High Energy Phys. 04 (2000) 033 [hep-th/0003227]; H. Liu and J. Michelson, Stretched strings in noncommutative field theory, hep-th/0004013; P.-M. Ho and M. Li, Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity, hep-th/0004072; G. Arcioni, J.L. F. Barbon, J. Gomis and M.A. Vazquez-Mozo, On the stringy nature of winding modes in noncommutative thermal field theories, hep-th/0004080.
    • 3 Theory from String Theory
    • Andreev, O.1    Dorn, H.2
  • 46
    • 6944249166 scopus 로고    scopus 로고
    • hep-th/0003145
    • 3 theory from string theory, hep-th/0003113; Y. Kiem and S. Lee, Uv/ir mixing in noncommutative field theory via open string loops, hep-th/0003145; A. Bilal, C.-S. Chu and R. Russo, String theory and noncommutative field theories at one loop, hep-th/0003180; J. Gomis, M. Kleban, T. Mehen, M. Rangamani and S. Shenker, Noncommutative gauge dynamics from the string worldsheet, hep-th/0003215; A. Rajaraman and M. Rozali, Noncommutative gauge theory, divergences and closed strings, J. High Energy Phys. 04 (2000) 033 [hep-th/0003227]; H. Liu and J. Michelson, Stretched strings in noncommutative field theory, hep-th/0004013; P.-M. Ho and M. Li, Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity, hep-th/0004072; G. Arcioni, J.L. F. Barbon, J. Gomis and M.A. Vazquez-Mozo, On the stringy nature of winding modes in noncommutative thermal field theories, hep-th/0004080.
    • Uv/ir Mixing in Noncommutative Field Theory Via Open String Loops
    • Kiem, Y.1    Lee, S.2
  • 47
    • 0042696593 scopus 로고    scopus 로고
    • hep-th/0003180
    • 3 theory from string theory, hep-th/0003113; Y. Kiem and S. Lee, Uv/ir mixing in noncommutative field theory via open string loops, hep-th/0003145; A. Bilal, C.-S. Chu and R. Russo, String theory and noncommutative field theories at one loop, hep-th/0003180; J. Gomis, M. Kleban, T. Mehen, M. Rangamani and S. Shenker, Noncommutative gauge dynamics from the string worldsheet, hep-th/0003215; A. Rajaraman and M. Rozali, Noncommutative gauge theory, divergences and closed strings, J. High Energy Phys. 04 (2000) 033 [hep-th/0003227]; H. Liu and J. Michelson, Stretched strings in noncommutative field theory, hep-th/0004013; P.-M. Ho and M. Li, Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity, hep-th/0004072; G. Arcioni, J.L. F. Barbon, J. Gomis and M.A. Vazquez-Mozo, On the stringy nature of winding modes in noncommutative thermal field theories, hep-th/0004080.
    • String Theory and Noncommutative Field Theories at One Loop
    • Bilal, A.1    Chu, C.-S.2    Russo, R.3
  • 48
    • 0042961719 scopus 로고    scopus 로고
    • hep-th/0003215
    • 3 theory from string theory, hep-th/0003113; Y. Kiem and S. Lee, Uv/ir mixing in noncommutative field theory via open string loops, hep-th/0003145; A. Bilal, C.-S. Chu and R. Russo, String theory and noncommutative field theories at one loop, hep-th/0003180; J. Gomis, M. Kleban, T. Mehen, M. Rangamani and S. Shenker, Noncommutative gauge dynamics from the string worldsheet, hep-th/0003215; A. Rajaraman and M. Rozali, Noncommutative gauge theory, divergences and closed strings, J. High Energy Phys. 04 (2000) 033 [hep-th/0003227]; H. Liu and J. Michelson, Stretched strings in noncommutative field theory, hep-th/0004013; P.-M. Ho and M. Li, Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity, hep-th/0004072; G. Arcioni, J.L. F. Barbon, J. Gomis and M.A. Vazquez-Mozo, On the stringy nature of winding modes in noncommutative thermal field theories, hep-th/0004080.
    • Noncommutative Gauge Dynamics from the String Worldsheet
    • Gomis, J.1    Kleban, M.2    Mehen, T.3    Rangamani, M.4    Shenker, S.5
  • 49
    • 6944251233 scopus 로고    scopus 로고
    • Noncommutative gauge theory, divergences and closed strings
    • hep-th/0003227
    • 3 theory from string theory, hep-th/0003113; Y. Kiem and S. Lee, Uv/ir mixing in noncommutative field theory via open string loops, hep-th/0003145; A. Bilal, C.-S. Chu and R. Russo, String theory and noncommutative field theories at one loop, hep-th/0003180; J. Gomis, M. Kleban, T. Mehen, M. Rangamani and S. Shenker, Noncommutative gauge dynamics from the string worldsheet, hep-th/0003215; A. Rajaraman and M. Rozali, Noncommutative gauge theory, divergences and closed strings, J. High Energy Phys. 04 (2000) 033 [hep-th/0003227]; H. Liu and J. Michelson, Stretched strings in noncommutative field theory, hep-th/0004013; P.-M. Ho and M. Li, Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity, hep-th/0004072; G. Arcioni, J.L. F. Barbon, J. Gomis and M.A. Vazquez-Mozo, On the stringy nature of winding modes in noncommutative thermal field theories, hep-th/0004080.
    • (2000) J. High Energy Phys. , vol.4 , pp. 033
    • Rajaraman, A.1    Rozali, M.2
  • 50
    • 0043197695 scopus 로고    scopus 로고
    • hep-th/0004013
    • 3 theory from string theory, hep-th/0003113; Y. Kiem and S. Lee, Uv/ir mixing in noncommutative field theory via open string loops, hep-th/0003145; A. Bilal, C.-S. Chu and R. Russo, String theory and noncommutative field theories at one loop, hep-th/0003180; J. Gomis, M. Kleban, T. Mehen, M. Rangamani and S. Shenker, Noncommutative gauge dynamics from the string worldsheet, hep-th/0003215; A. Rajaraman and M. Rozali, Noncommutative gauge theory, divergences and closed strings, J. High Energy Phys. 04 (2000) 033 [hep-th/0003227]; H. Liu and J. Michelson, Stretched strings in noncommutative field theory, hep-th/0004013; P.-M. Ho and M. Li, Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity, hep-th/0004072; G. Arcioni, J.L. F. Barbon, J. Gomis and M.A. Vazquez-Mozo, On the stringy nature of winding modes in noncommutative thermal field theories, hep-th/0004080.
    • Stretched Strings in Noncommutative Field Theory
    • Liu, H.1    Michelson, J.2
  • 51
    • 0041421825 scopus 로고    scopus 로고
    • hep-th/0004072
    • 3 theory from string theory, hep-th/0003113; Y. Kiem and S. Lee, Uv/ir mixing in noncommutative field theory via open string loops, hep-th/0003145; A. Bilal, C.-S. Chu and R. Russo, String theory and noncommutative field theories at one loop, hep-th/0003180; J. Gomis, M. Kleban, T. Mehen, M. Rangamani and S. Shenker, Noncommutative gauge dynamics from the string worldsheet, hep-th/0003215; A. Rajaraman and M. Rozali, Noncommutative gauge theory, divergences and closed strings, J. High Energy Phys. 04 (2000) 033 [hep-th/0003227]; H. Liu and J. Michelson, Stretched strings in noncommutative field theory, hep-th/0004013; P.-M. Ho and M. Li, Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity, hep-th/0004072; G. Arcioni, J.L. F. Barbon, J. Gomis and M.A. Vazquez-Mozo, On the stringy nature of winding modes in noncommutative thermal field theories, hep-th/0004080.
    • Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity
    • Ho, P.-M.1    Li, M.2
  • 52
    • 0041475270 scopus 로고    scopus 로고
    • hep-th/0004080
    • 3 theory from string theory, hep-th/0003113; Y. Kiem and S. Lee, Uv/ir mixing in noncommutative field theory via open string loops, hep-th/0003145; A. Bilal, C.-S. Chu and R. Russo, String theory and noncommutative field theories at one loop, hep-th/0003180; J. Gomis, M. Kleban, T. Mehen, M. Rangamani and S. Shenker, Noncommutative gauge dynamics from the string worldsheet, hep-th/0003215; A. Rajaraman and M. Rozali, Noncommutative gauge theory, divergences and closed strings, J. High Energy Phys. 04 (2000) 033 [hep-th/0003227]; H. Liu and J. Michelson, Stretched strings in noncommutative field theory, hep-th/0004013; P.-M. Ho and M. Li, Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity, hep-th/0004072; G. Arcioni, J.L. F. Barbon, J. Gomis and M.A. Vazquez-Mozo, On the stringy nature of winding modes in noncommutative thermal field theories, hep-th/0004080.
    • On the Stringy Nature of Winding Modes in Noncommutative Thermal Field Theories
    • Arcioni, G.1    Barbon, J.L.F.2    Gomis, J.3    Vazquez-Mozo, M.A.4
  • 58
    • 0034636341 scopus 로고    scopus 로고
    • Nonperturbative dynamics of noncommutative gauge theory
    • hep-th/0002158
    • J. Ambjørn, Y.M. Makeenko, J. Nishimura and R.J. Szabo, Nonperturbative dynamics of noncommutative gauge theory, Phys. Lett. B 480 (2000) 399 [hep-th/0002158].
    • (2000) Phys. Lett. B , vol.480 , pp. 399
    • Ambjørn, J.1    Makeenko, Y.M.2    Nishimura, J.3    Szabo, R.J.4
  • 59
    • 33744776799 scopus 로고
    • Infinite dimensional algebras, sine brackets and SU(∞)
    • D.B. Fairlie and C.K. Zachos, Infinite dimensional algebras, sine brackets and SU(∞), Phys. Lett. B 224 (1989) 101; M. Li, Strings from IIB matrices, Nucl. Phys. B 499 (1997) 149 [hep-th/9612222]; T. Curtright, D. Fairlie and C. Zachos, Integrable symplectic trilinear interaction terms for matrix membranes, Phys. Lett. B 405 (1997) 37 [hep-th/9704037]; D.B. Fairlie, Moyal brackets in M-theory, Mod. Phys. Lett. A 13 (1998) 263 [hep-th/9707190].
    • (1989) Phys. Lett. B , vol.224 , pp. 101
    • Fairlie, D.B.1    Zachos, C.K.2
  • 60
    • 0031577441 scopus 로고    scopus 로고
    • Strings from IIB matrices
    • hep-th/9612222
    • D.B. Fairlie and C.K. Zachos, Infinite dimensional algebras, sine brackets and SU(∞), Phys. Lett. B 224 (1989) 101; M. Li, Strings from IIB matrices, Nucl. Phys. B 499 (1997) 149 [hep-th/9612222]; T. Curtright, D. Fairlie and C. Zachos, Integrable symplectic trilinear interaction terms for matrix membranes, Phys. Lett. B 405 (1997) 37 [hep-th/9704037]; D.B. Fairlie, Moyal brackets in M-theory, Mod. Phys. Lett. A 13 (1998) 263 [hep-th/9707190].
    • (1997) Nucl. Phys. B , vol.499 , pp. 149
    • Li, M.1
  • 61
    • 0039379625 scopus 로고    scopus 로고
    • Integrable symplectic trilinear interaction terms for matrix membranes
    • hep-th/9704037
    • D.B. Fairlie and C.K. Zachos, Infinite dimensional algebras, sine brackets and SU(∞), Phys. Lett. B 224 (1989) 101; M. Li, Strings from IIB matrices, Nucl. Phys. B 499 (1997) 149 [hep-th/9612222]; T. Curtright, D. Fairlie and C. Zachos, Integrable symplectic trilinear interaction terms for matrix membranes, Phys. Lett. B 405 (1997) 37 [hep-th/9704037]; D.B. Fairlie, Moyal brackets in M-theory, Mod. Phys. Lett. A 13 (1998) 263 [hep-th/9707190].
    • (1997) Phys. Lett. B , vol.405 , pp. 37
    • Curtright, T.1    Fairlie, D.2    Zachos, C.3
  • 62
    • 0001131714 scopus 로고    scopus 로고
    • Moyal brackets in M-theory
    • hep-th/9707190
    • D.B. Fairlie and C.K. Zachos, Infinite dimensional algebras, sine brackets and SU(∞), Phys. Lett. B 224 (1989) 101; M. Li, Strings from IIB matrices, Nucl. Phys. B 499 (1997) 149 [hep-th/9612222]; T. Curtright, D. Fairlie and C. Zachos, Integrable symplectic trilinear interaction terms for matrix membranes, Phys. Lett. B 405 (1997) 37 [hep-th/9704037]; D.B. Fairlie, Moyal brackets in M-theory, Mod. Phys. Lett. A 13 (1998) 263 [hep-th/9707190].
    • (1998) Mod. Phys. Lett. A , vol.13 , pp. 263
    • Fairlie, D.B.1
  • 63
    • 33645918563 scopus 로고
    • Reduction of dynamical degrees of freedom in the large-N gauge theory
    • T. Eguchi and H. Kawai, Reduction of dynamical degrees of freedom in the large-N gauge theory, Phys. Rev. Lett. 48 (1982) 1063.
    • (1982) Phys. Rev. Lett. , vol.48 , pp. 1063
    • Eguchi, T.1    Kawai, H.2
  • 64
    • 4243363745 scopus 로고
    • A twisted model for large-N lattice gauge theory
    • A. Gonzalez-Arroyo and M. Okawa, A twisted model for large-N lattice gauge theory, Phys. Lett. B 120 (1983) 174; T. Eguchi and R. Nakayama, Simplification of quenching procedure for large-N spin models, Phys. Lett. B 122 (1983) 59.
    • (1983) Phys. Lett. B , vol.120 , pp. 174
    • Gonzalez-Arroyo, A.1    Okawa, M.2
  • 65
    • 33744762647 scopus 로고
    • Simplification of quenching procedure for large-N spin models
    • A. Gonzalez-Arroyo and M. Okawa, A twisted model for large-N lattice gauge theory, Phys. Lett. B 120 (1983) 174; T. Eguchi and R. Nakayama, Simplification of quenching procedure for large-N spin models, Phys. Lett. B 122 (1983) 59.
    • (1983) Phys. Lett. B , vol.122 , pp. 59
    • Eguchi, T.1    Nakayama, R.2
  • 66
    • 0041047484 scopus 로고    scopus 로고
    • D-brane field theory on compact spaces
    • hep-th/9611042
    • I.W. Taylor, D-brane field theory on compact spaces, Phys. Lett. B 394 (1997) 283 [hep-th/9611042]; O.J. Ganor, S. Ramgoolam and I.W. Taylor, Brancs, fluxes and duality in M(atrix)-theory, Nucl. Phys. B 492 (1997) 191 [hep-th/9611202].
    • (1997) Phys. Lett. B , vol.394 , pp. 283
    • Taylor, I.W.1
  • 67
    • 0031565524 scopus 로고    scopus 로고
    • Brancs, fluxes and duality in M(atrix)-theory
    • hep-th/9611202
    • I.W. Taylor, D-brane field theory on compact spaces, Phys. Lett. B 394 (1997) 283 [hep-th/9611042]; O.J. Ganor, S. Ramgoolam and I.W. Taylor, Brancs, fluxes and duality in M(atrix)-theory, Nucl. Phys. B 492 (1997) 191 [hep-th/9611202].
    • (1997) Nucl. Phys. B , vol.492 , pp. 191
    • Ganor, O.J.1    Ramgoolam, S.2    Taylor, I.W.3
  • 68
    • 33645928718 scopus 로고
    • Confinement of quarks
    • K.G. Wilson, Confinement of quarks, Phys. Rev. D 10 (1974) 2445.
    • (1974) Phys. Rev. D , vol.10 , pp. 2445
    • Wilson, K.G.1
  • 70
    • 21144478034 scopus 로고    scopus 로고
    • Noncommutative differential calculus and lattice gauge theory
    • A. Dimakis, F. Müller-Hoissen and T. Striker, Noncommutative differential calculus and lattice gauge theory, J. Phys. A26 (1993) 1927; A.P. Balachandran, G. Bimonte, E. Ercolessi, G. Landi, F. Lizzi, G. Sparano and P. Teotonio-Sobrinho, Finite quantum physics and noncommutative geometry, Nucl. Phys. 37C (Proc. Suppl.) (1995) 20 [hep-th/9403067]; Noncommutative lattices as finite approximations and their noncommutative geometries, J. Geom. Phys. 18 (1996) 163 [hep-th/9510217]; Lattice gauge fields and noncommutative geometry, J. Geom. Phys. 24 (1998) 353 [hep-lat/9604012].
    • (1993) J. Phys. , vol.A26 , pp. 1927
    • Dimakis, A.1    Müller-Hoissen, F.2    Striker, T.3
  • 71
    • 0003194307 scopus 로고
    • Finite quantum physics and noncommutative geometry
    • hep-th/9403067
    • A. Dimakis, F. Müller-Hoissen and T. Striker, Noncommutative differential calculus and lattice gauge theory, J. Phys. A26 (1993) 1927; A.P. Balachandran, G. Bimonte, E. Ercolessi, G. Landi, F. Lizzi, G. Sparano and P. Teotonio-Sobrinho, Finite quantum physics and noncommutative geometry, Nucl. Phys. 37C (Proc. Suppl.) (1995) 20 [hep-th/9403067]; Noncommutative lattices as finite approximations and their noncommutative geometries, J. Geom. Phys. 18 (1996) 163 [hep-th/9510217]; Lattice gauge fields and noncommutative geometry, J. Geom. Phys. 24 (1998) 353 [hep-lat/9604012].
    • (1995) Nucl. Phys. , vol.37 C , Issue.PROC. SUPPL. , pp. 20
    • Balachandran, A.P.1    Bimonte, G.2    Ercolessi, E.3    Landi, G.4    Lizzi, F.5    Sparano, G.6    Teotonio-Sobrinho, P.7
  • 72
    • 21144478034 scopus 로고    scopus 로고
    • Noncommutative lattices as finite approximations and their noncommutative geometries
    • hep-th/9510217
    • A. Dimakis, F. Müller-Hoissen and T. Striker, Noncommutative differential calculus and lattice gauge theory, J. Phys. A26 (1993) 1927; A.P. Balachandran, G. Bimonte, E. Ercolessi, G. Landi, F. Lizzi, G. Sparano and P. Teotonio-Sobrinho, Finite quantum physics and noncommutative geometry, Nucl. Phys. 37C (Proc. Suppl.) (1995) 20 [hep-th/9403067]; Noncommutative lattices as finite approximations and their noncommutative geometries, J. Geom. Phys. 18 (1996) 163 [hep-th/9510217]; Lattice gauge fields and noncommutative geometry, J. Geom. Phys. 24 (1998) 353 [hep-lat/9604012].
    • (1996) J. Geom. Phys. , vol.18 , pp. 163
  • 73
    • 0032018187 scopus 로고    scopus 로고
    • Lattice gauge fields and noncommutative geometry
    • hep-lat/9604012
    • A. Dimakis, F. Müller-Hoissen and T. Striker, Noncommutative differential calculus and lattice gauge theory, J. Phys. A26 (1993) 1927; A.P. Balachandran, G. Bimonte, E. Ercolessi, G. Landi, F. Lizzi, G. Sparano and P. Teotonio-Sobrinho, Finite quantum physics and noncommutative geometry, Nucl. Phys. 37C (Proc. Suppl.) (1995) 20 [hep-th/9403067]; Noncommutative lattices as finite approximations and their noncommutative geometries, J. Geom. Phys. 18 (1996) 163 [hep-th/9510217]; Lattice gauge fields and noncommutative geometry, J. Geom. Phys. 24 (1998) 353 [hep-lat/9604012].
    • (1998) J. Geom. Phys. , vol.24 , pp. 353
  • 74
    • 0010887798 scopus 로고
    • A property of electric and magnetic flux in nonabelian gauge theories
    • G. 't Hooft, A property of electric and magnetic flux in nonabelian gauge theories, Nucl. Phys. B 153 (1979) 141; Some twisted selfdual solutions for the Yang-Mills equations on a hypertorus, Comm. Math. Phys. 81 (1981) 267.
    • (1979) Nucl. Phys. B , vol.153 , pp. 141
    • 'T Hooft, G.1
  • 75
    • 33744614976 scopus 로고
    • Some twisted selfdual solutions for the Yang-Mills equations on a hypertorus
    • G. 't Hooft, A property of electric and magnetic flux in nonabelian gauge theories, Nucl. Phys. B 153 (1979) 141; Some twisted selfdual solutions for the Yang-Mills equations on a hypertorus, Comm. Math. Phys. 81 (1981) 267.
    • (1981) Comm. Math. Phys. , vol.81 , pp. 267
  • 77
    • 0346462789 scopus 로고    scopus 로고
    • Twisted bundle on quantum torus and BPS states in matrix theory
    • hep-th/9803166
    • 4, hep-th/9912272.
    • (1998) Phys. Lett. B , vol.434 , pp. 41
    • Ho, P.-M.1
  • 78
    • 0032583036 scopus 로고    scopus 로고
    • Morita equivalence and duality
    • hep-th/9805034
    • 4, hep-th/9912272.
    • (1998) Nucl. Phys. B , vol.534 , pp. 720
    • Schwarz, A.1
  • 83
    • 0033247662 scopus 로고    scopus 로고
    • hep-th/9912272
    • 4, hep-th/9912272.
    • 4
    • Kim, E.1
  • 84
    • 6444230718 scopus 로고    scopus 로고
    • A path integral representation of the map between commutative and noncommutative gauge fields
    • hep-th/9910138
    • K. Okuyama, A path integral representation of the map between commutative and noncommutative gauge fields, J. High Energy Phys. 03 (2000) 016 [hep-th/9910138]; P. Watts, Noncommutative string theory, the R-matrix and Hopf algebras, Phys. Lett. B 474 (2000) 295 [hep-th/9911026]; T. Lee, Noncommutative Dirac-Born-Infeld action for D-brane, Phys. Lett. B 478 (2000) 313 [hep-th/9912038]; O. Andreev and H. Dorn, On open string sigma-model and noncommutative gauge fields, Phys. Lett. B 476 (2000) 402 [hep-th/9912070].
    • (2000) J. High Energy Phys. , vol.3 , pp. 016
    • Okuyama, K.1
  • 85
    • 0034677422 scopus 로고    scopus 로고
    • Noncommutative string theory, the R-matrix and Hopf algebras
    • hep-th/9911026
    • K. Okuyama, A path integral representation of the map between commutative and noncommutative gauge fields, J. High Energy Phys. 03 (2000) 016 [hep-th/9910138]; P. Watts, Noncommutative string theory, the R-matrix and Hopf algebras, Phys. Lett. B 474 (2000) 295 [hep-th/9911026]; T. Lee, Noncommutative Dirac-Born-Infeld action for D-brane, Phys. Lett. B 478 (2000) 313 [hep-th/9912038]; O. Andreev and H. Dorn, On open string sigma-model and noncommutative gauge fields, Phys. Lett. B 476 (2000) 402 [hep-th/9912070].
    • (2000) Phys. Lett. B , vol.474 , pp. 295
    • Watts, P.1
  • 86
    • 0034611542 scopus 로고    scopus 로고
    • Noncommutative Dirac-Born-Infeld action for D-brane
    • hep-th/9912038
    • K. Okuyama, A path integral representation of the map between commutative and noncommutative gauge fields, J. High Energy Phys. 03 (2000) 016 [hep-th/9910138]; P. Watts, Noncommutative string theory, the R-matrix and Hopf algebras, Phys. Lett. B 474 (2000) 295 [hep-th/9911026]; T. Lee, Noncommutative Dirac-Born-Infeld action for D-brane, Phys. Lett. B 478 (2000) 313 [hep-th/9912038]; O. Andreev and H. Dorn, On open string sigma-model and noncommutative gauge fields, Phys. Lett. B 476 (2000) 402 [hep-th/9912070].
    • (2000) Phys. Lett. B , vol.478 , pp. 313
    • Lee, T.1
  • 87
    • 0034673491 scopus 로고    scopus 로고
    • On open string sigma-model and noncommutative gauge fields
    • hep-th/9912070
    • K. Okuyama, A path integral representation of the map between commutative and noncommutative gauge fields, J. High Energy Phys. 03 (2000) 016 [hep-th/9910138]; P. Watts, Noncommutative string theory, the R-matrix and Hopf algebras, Phys. Lett. B 474 (2000) 295 [hep-th/9911026]; T. Lee, Noncommutative Dirac-Born-Infeld action for D-brane, Phys. Lett. B 478 (2000) 313 [hep-th/9912038]; O. Andreev and H. Dorn, On open string sigma-model and noncommutative gauge fields, Phys. Lett. B 476 (2000) 402 [hep-th/9912070].
    • (2000) Phys. Lett. B , vol.476 , pp. 402
    • Andreev, O.1    Dorn, H.2
  • 89
    • 0000185728 scopus 로고
    • Quark fields in twisted reduced large-N QCD
    • S.R. Das, Quark fields in twisted reduced large-N QCD, Phys. Lett. B 132 (1983) 155.
    • (1983) Phys. Lett. B , vol.132 , pp. 155
    • Das, S.R.1
  • 90
    • 0034611550 scopus 로고    scopus 로고
    • Perturbative analysis on infrared aspects of noncommutative QED on R4
    • hep-th/9912094
    • 4, hep-th/9912167.
    • (2000) Phys. Lett. B , vol.478 , pp. 394
    • Hayakawa, M.1
  • 91
    • 0034611550 scopus 로고    scopus 로고
    • hep-th/9912167
    • 4, hep-th/9912167.
    • 4
  • 94
    • 0000190756 scopus 로고
    • A simple construction of twist eating solutions
    • P. van Baal and B. van Geemen, A simple construction of twist eating solutions, J. Math. Phys. 27 (1986) 455; D.R. Lebedev and M.I. Polikarpov, Extrema of the twisted Eguchi-Kawai action and the finite Heisenberg group, Nucl. Phys. B 269 (1986) 285.
    • (1986) J. Math. Phys. , vol.27 , pp. 455
    • Van Baal, P.1    Van Geemen, B.2
  • 95
    • 0001525809 scopus 로고
    • Extrema of the twisted Eguchi-Kawai action and the finite Heisenberg group
    • P. van Baal and B. van Geemen, A simple construction of twist eating solutions, J. Math. Phys. 27 (1986) 455; D.R. Lebedev and M.I. Polikarpov, Extrema of the twisted Eguchi-Kawai action and the finite Heisenberg group, Nucl. Phys. B 269 (1986) 285.
    • (1986) Nucl. Phys. B , vol.269 , pp. 285
    • Lebedev, D.R.1    Polikarpov, M.I.2
  • 97
    • 0033076633 scopus 로고    scopus 로고
    • Noncommutative geometry and spacetime gauge symmetries of string theory
    • hep-th/9712206
    • F. Lizzi and R.J. Szabo, Noncommutative geometry and spacetime gauge symmetries of string theory, Chaos Solitons Fractals 10 (1999) 445 [hep-th/9712206].
    • (1999) Chaos Solitons Fractals , vol.10 , pp. 445
    • Lizzi, F.1    Szabo, R.J.2
  • 98
    • 0000533661 scopus 로고
    • Distances on a lattice from noncommutative geometry
    • hep-lat/9404007
    • G. Bimonte, F. Lizzi and G. Sparano, Distances on a lattice from noncommutative geometry, Phys. Lett. B 341 (1994) 139 [hep-lat/9404007]; M. Göckeler and T. Schucker, Does noncommutative geometry encompass lattice gauge theory?, Phys. Lett. B 434 (1998) 80 [hep-th/9805077].
    • (1994) Phys. Lett. B , vol.341 , pp. 139
    • Bimonte, G.1    Lizzi, F.2    Sparano, G.3
  • 99
    • 0346855284 scopus 로고    scopus 로고
    • Does noncommutative geometry encompass lattice gauge theory?
    • hep-th/9805077
    • G. Bimonte, F. Lizzi and G. Sparano, Distances on a lattice from noncommutative geometry, Phys. Lett. B 341 (1994) 139 [hep-lat/9404007]; M. Göckeler and T. Schucker, Does noncommutative geometry encompass lattice gauge theory?, Phys. Lett. B 434 (1998) 80 [hep-th/9805077].
    • (1998) Phys. Lett. B , vol.434 , pp. 80
    • Göckeler, M.1    Schucker, T.2
  • 101
    • 33646069323 scopus 로고    scopus 로고
    • On the hierarchy between non-commutative and ordinary supersymmetric Yang-Mills
    • hep-th/9911057
    • A. Hashimoto and N. Itzhaki, On the hierarchy between non-commutative and ordinary supersymmetric Yang-Mills, J. High Energy Phys. 12 (1999) 007 [hep-th/9911057].
    • (1999) J. High Energy Phys. , vol.12 , pp. 007
    • Hashimoto, A.1    Itzhaki, N.2
  • 102
    • 0032517024 scopus 로고    scopus 로고
    • Numerical study of the double scaling limit in two-dimensional large-N reduced model
    • hep-th/9802082
    • T. Nakajima and J. Nishimura, Numerical study of the double scaling limit in two-dimensional large-N reduced model, Nucl. Phys. B 528 (1998) 355 [hep-th/9802082].
    • (1998) Nucl. Phys. B , vol.528 , pp. 355
    • Nakajima, T.1    Nishimura, J.2
  • 103
    • 0000043950 scopus 로고
    • F in supersymmetric gauge theories with matter
    • F in supersymmetric gauge theories with matter, Nucl. Phys. B 223 (1983) 183.
    • (1983) Nucl. Phys. B , vol.223 , pp. 183
    • Cohen, E.1    Gomez, C.2


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