메뉴 건너뛰기




Volumn 8, Issue 1, 2004, Pages 365-433

Exact solution of quantum field theory on noncommutative phase spaces

Author keywords

Matrix Models; Non Commutative Geometry; Renormalization Regularization and Renormalons

Indexed keywords


EID: 23144462213     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/01/017     Document Type: Article
Times cited : (87)

References (72)
  • 1
    • 0036179683 scopus 로고    scopus 로고
    • Introduction to M(atrix) theory and noncommutative geometry
    • [hep-th/0012145]
    • A. Konechny and A. Schwarz, Introduction to M(atrix) theory and noncommutative geometry, Phys. Rept. 360 (2002) 353 [hep-th/0012145];
    • (2002) Phys. Rept. , vol.360 , pp. 353
    • Konechny, A.1    Schwarz, A.2
  • 2
    • 0036179683 scopus 로고    scopus 로고
    • Introduction to M(atrix) theory and noncommutative geometry, II
    • [hep-th/0107251]
    • Introduction to M(atrix) theory and noncommutative geometry, II, Phys. Rept. 360 (2002) 353 [hep-th/0107251].
    • (2002) Phys. Rept. , vol.360 , pp. 353
  • 3
    • 0035486599 scopus 로고    scopus 로고
    • Noncommutative field theory
    • [hep-th/0106048]
    • M.R. Douglas and N.A. Nekrasov, Noncommutative field theory, Rev. Mod. Phys. 73 (2001) 977 [hep-th/0106048].
    • (2001) Rev. Mod. Phys. , vol.73 , pp. 977
    • Douglas, M.R.1    Nekrasov, N.A.2
  • 4
    • 0037402478 scopus 로고    scopus 로고
    • Quantum field theory on noncommutative spaces
    • [hep-th/0109162]
    • R. J. Szabo, Quantum field theory on noncommutative spaces, Phys. Rept. 378 (2003) 207 [hep-th/0109162].
    • (2003) Phys. Rept. , vol.378 , pp. 207
    • Szabo, R.J.1
  • 6
    • 0037198092 scopus 로고    scopus 로고
    • The noncommutative supersymmetric nonlinear sigma model
    • [hep-th/0102101]
    • H.O. Girotti, M. Gomes, V.O. Rivelles and A.J. da Silva, The noncommutative supersymmetric nonlinear sigma model, Int. J. Mod. Phys. A 17 (2002) 1503 [hep-th/0102101].
    • (2002) Int. J. Mod. Phys. A , vol.17 , pp. 1503
    • Girotti, H.O.1    Gomes, M.2    Rivelles, V.O.3    Da Silva, A.J.4
  • 7
    • 33744520914 scopus 로고    scopus 로고
    • Non-commutative Gross-Neveu model at large-N
    • [hep-th/0103199]
    • E.T. Akhmedov, P. DeBoer and G.W. Semenoff, Non-commutative Gross-Neveu model at large-N, J. High Energy Phys. 06 (2001) 009 [hep-th/0103199].
    • (2001) J. High Energy Phys. , vol.6 , pp. 009
    • Akhmedov, E.T.1    DeBoer, P.2    Semenoff, G.W.3
  • 9
    • 33744928437 scopus 로고    scopus 로고
    • Convergence theorem for non-commutative Feynman graphs and renormatization
    • [hep-th/0008090]
    • I. Chepelev and R. Roiban, Convergence theorem for non-commutative Feynman graphs and renormatization, J. High Energy Phys. 03 (2001) 001 [hep-th/0008090].
    • (2001) J. High Energy Phys. , vol.3 , pp. 001
    • Chepelev, I.1    Roiban, R.2
  • 11
    • 0041821520 scopus 로고    scopus 로고
    • Exact solution of noncommutative field theory in background magnetic fields
    • [hep-th/0303082]
    • E. Langmann, R.J. Szabo and K. Zarembo, Exact solution of noncommutative field theory in background magnetic fields, Phys. Lett. B 569 (2003) 95 [hep-th/0303082].
    • (2003) Phys. Lett. B , vol.569 , pp. 95
    • Langmann, E.1    Szabo, R.J.2    Zarembo, K.3
  • 12
    • 0036004304 scopus 로고    scopus 로고
    • A new approach to scalar field theory on noncommutative space
    • [hep-th/0105002]
    • Y. Habara, A new approach to scalar field theory on noncommutative space, Prog. Theor. Phys. 107 (2002) 211 [hep-th/0105002].
    • (2002) Prog. Theor. Phys. , vol.107 , pp. 211
    • Habara, Y.1
  • 13
    • 0037007565 scopus 로고    scopus 로고
    • Duality in scalar field theory on noncommutative phase spaces
    • [hep-th/0202039]
    • E. Langmann and R.J. Szabo, Duality in scalar field theory on noncommutative phase spaces, Phys. Lett. B 533 (2002) 168 [hep-th/0202039].
    • (2002) Phys. Lett. B , vol.533 , pp. 168
    • Langmann, E.1    Szabo, R.J.2
  • 14
    • 0037474583 scopus 로고    scopus 로고
    • Interacting fermions on noncommutative spaces: Exactly solvable quantum field theories in 2n + 1 dimensions
    • [hep-th/0205287]
    • E. Langmann, Interacting fermions on noncommutative spaces: exactly solvable quantum field theories in 2n + 1 dimensions, Nucl. Phys. B 654 (2003) 404 [hep-th/0205287].
    • (2003) Nucl. Phys. B , vol.654 , pp. 404
    • Langmann, E.1
  • 16
    • 0034689994 scopus 로고    scopus 로고
    • The 'Peierls substitution' and the exotic Galilei group
    • [hep-th/0002233]
    • C. Duval and P.A. Horváthy, The 'Peierls substitution' and the exotic Galilei group, Phys. Lett. B 479 (2000) 284 [hep-th/0002233].
    • (2000) Phys. Lett. B , vol.479 , pp. 284
    • Duval, C.1    Horváthy, P.A.2
  • 17
    • 0035953730 scopus 로고    scopus 로고
    • Quantum mechanics on the noncommutative plane and sphere
    • [hep-th/0011172]
    • V.P. Nair and A.P. Polychronakos, Quantum mechanics on the noncommutative plane and sphere, Phys. Lett. B 505 (2001) 267 [hep-th/0011172].
    • (2001) Phys. Lett. B , vol.505 , pp. 267
    • Nair, V.P.1    Polychronakos, A.P.2
  • 18
    • 0000792140 scopus 로고    scopus 로고
    • Quantum mechanics on the noncommutative torus
    • [hep-th/0102157]
    • B. Morariu and A.P. Polychronakos, Quantum mechanics on the noncommutative torus, Nucl. Phys. B 610 (2001) 531 [hep-th/0102157].
    • (2001) Nucl. Phys. B , vol.610 , pp. 531
    • Morariu, B.1    Polychronakos, A.P.2
  • 19
    • 0035923213 scopus 로고    scopus 로고
    • The Landau problem and noncommutative quantum mechanics
    • [hep-th/0104224]
    • J. Gamboa, M. Loewe, F. Méndez and J. C. Rojas, The Landau problem and noncommutative quantum mechanics, Mod. Phys. Lett. A 16 (2001) 2075 [hep-th/0104224].
    • (2001) Mod. Phys. Lett. A , vol.16 , pp. 2075
    • Gamboa, J.1    Loewe, M.2    Méndez, F.3    Rojas, J.C.4
  • 20
    • 0035976832 scopus 로고    scopus 로고
    • Orbital magnetism of two-dimension noncommutative confined system
    • [hep-th/0105303]
    • A. Jellal, Orbital magnetism of two-dimension noncommutative confined system, J. Phys. A 34 (2001) 10159-10178 [hep-th/0105303].
    • (2001) J. Phys. A , vol.34 , pp. 10159-10178
    • Jellal, A.1
  • 21
    • 0035976846 scopus 로고    scopus 로고
    • Exotic galilean symmetry in the non-commutative plane and the Hall effect
    • [hep-th/0106089]
    • C. Duval and P.A. Horváthy, Exotic galilean symmetry in the non-commutative plane and the Hall effect, J. Phys. A 34 (2001) 10097-10108 [hep-th/0106089].
    • (2001) J. Phys. A , vol.34 , pp. 10097-10108
    • Duval, C.1    Horváthy, P.A.2
  • 22
    • 0000161362 scopus 로고    scopus 로고
    • Two phases of the non-commutative quantum mechanics
    • [hep-th/0106138]
    • S. Bellucci, A. Nersessian and C. Sochichiu, Two phases of the non-commutative quantum mechanics, Phys. Lett. B 522 (2001) 345 [hep-th/0106138].
    • (2001) Phys. Lett. B , vol.522 , pp. 345
    • Bellucci, S.1    Nersessian, A.2    Sochichiu, C.3
  • 23
    • 0037055150 scopus 로고    scopus 로고
    • The non-commutative Landau problem and the Peierls substitution
    • [hep-th/0201007]
    • P.A. Horváthy, The non-commutative Landau problem and the Peierls substitution, Ann. Phys. (NY) 299 (2002) 128 [hep-th/0201007].
    • (2002) Ann. Phys. (NY) , vol.299 , pp. 128
    • Horváthy, P.A.1
  • 24
    • 0034299329 scopus 로고    scopus 로고
    • Exact wavefunctions in a noncommutative field theory
    • [hep-th/0005253]
    • D. Bak, S.K. Kim, K.S. Soh and J.H. Yee, Exact wavefunctions in a noncommutative field theory, Phys. Rev. Lett. 85 (2000) 3087 [hep-th/0005253].
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 3087
    • Bak, D.1    Kim, S.K.2    Soh, K.S.3    Yee, J.H.4
  • 25
    • 85037889974 scopus 로고    scopus 로고
    • Noncommutative field theories and smooth commutative limits
    • [hep-th/0006087]
    • D. Bak, S.K. Kim, K.S. Soh and J.H. Yee, Noncommutative field theories and smooth commutative limits, Phys. Rev. D 63 (2001) 047701 [hep-th/0006087].
    • (2001) Phys. Rev. D , vol.63 , pp. 047701
    • Bak, D.1    Kim, S.K.2    Soh, K.S.3    Yee, J.H.4
  • 26
    • 36549090874 scopus 로고
    • Algebras of distributions suitable for phase space quantum mechanics, 1
    • J.M. Gracia-Bondía and J.C. Varilly, Algebras of distributions suitable for phase space quantum mechanics, 1, J. Math. Phys. 29 (1988) 869.
    • (1988) J. Math. Phys. , vol.29 , pp. 869
    • Gracia-Bondía, J.M.1    Varilly, J.C.2
  • 27
    • 0036666832 scopus 로고    scopus 로고
    • Quantum aspects of gms solutions of noncommutative field theory and large-N limit of matrix models
    • [hep-th/0111059]
    • G. Mandal, S. J. Rey and S.R. Wadia, Quantum aspects of gms solutions of noncommutative field theory and large-N limit of matrix models, Eur. Phys. J. C 24 (2002) 495 [hep-th/0111059].
    • (2002) Eur. Phys. J. C , vol.24 , pp. 495
    • Mandal, G.1    Rey, S.J.2    Wadia, S.R.3
  • 28
    • 0037166683 scopus 로고    scopus 로고
    • The Wilson-Polchinski renormalization group equation in the planar limit
    • [hep-th/0202155]
    • G. Becchi, S. Giusto and C. Imbimbo, The Wilson-Polchinski renormalization group equation in the planar limit, Nucl. Phys. B 633 (2002) 250 [hep-th/0202155].
    • (2002) Nucl. Phys. B , vol.633 , pp. 250
    • Becchi, G.1    Giusto, S.2    Imbimbo, C.3
  • 31
    • 7644232480 scopus 로고    scopus 로고
    • Lattice gauge fields and discrete noncommutative Yang-Mills theory
    • [hep-th/0004147]
    • J. Ambjørn, Y.M. Makeenko, J. Nishimura and R. J. Szabo, Lattice gauge fields and discrete noncommutative Yang-Mills theory, J. High Energy Phys. 05 (2000) 023 [hep-th/0004147].
    • (2000) J. High Energy Phys. , vol.5 , pp. 023
    • Ambjørn, J.1    Makeenko, Y.M.2    Nishimura, J.3    Szabo, R.J.4
  • 32
    • 0037084653 scopus 로고    scopus 로고
    • Quantum field dynamics in a uniform magnetic field: Description using fields in oblique phase space
    • [hep-th/0110249]
    • S. Kim, C.K. Lee and K.M. Lee, Quantum field dynamics in a uniform magnetic field: description using fields in oblique phase space, Phys. Rev. D 65 (2002) 045009 [hep-th/0110249].
    • (2002) Phys. Rev. D , vol.65 , pp. 045009
    • Kim, S.1    Lee, C.K.2    Lee, K.M.3
  • 33
    • 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
  • 34
    • 7744244278 scopus 로고    scopus 로고
    • A note on background independence in noncommutative gauge theories, matrix model and tachyon condensation
    • [hep-th/0008013]
    • N. Seiberg, A note on background independence in noncommutative gauge theories, matrix model and tachyon condensation, J. High Energy Phys. 09 (2000) 003 [hep-th/0008013].
    • (2000) J. High Energy Phys. , vol.9 , pp. 003
    • Seiberg, N.1
  • 35
    • 0037191736 scopus 로고    scopus 로고
    • Stripes from (noncommutative) stars
    • [hep-lat/0209106]
    • J. Ambjørn and S. Catterall, Stripes from (noncommutative) stars, Phys. Lett. B 549 (2002) 253 [hep-lat/0209106].
    • (2002) Phys. Lett. B , vol.549 , pp. 253
    • Ambjørn, J.1    Catterall, S.2
  • 36
    • 0038717738 scopus 로고    scopus 로고
    • Non-commutative field theories beyond perturbation theory
    • [hep-th/0212258]
    • W. Bietenholz, F. Hofheinz and J. Nishimura, Non-commutative field theories beyond perturbation theory, Fortschr. Phys. 51 (2003) 745 [hep-th/0212258].
    • (2003) Fortschr. Phys. , vol.51 , pp. 745
    • Bietenholz, W.1    Hofheinz, F.2    Nishimura, J.3
  • 37
    • 33745028631 scopus 로고    scopus 로고
    • Geometry of the gauge algebra in noncommutative Yang-Mills theory
    • [hep-th/0107115]
    • F. Lizzi, R.J. Szabo and A. Zampini, Geometry of the gauge algebra in noncommutative Yang-Mills theory, J. High Energy Phys. 08 (2001) 032 [hep-th/0107115].
    • (2001) J. High Energy Phys. , vol.8 , pp. 032
    • Lizzi, F.1    Szabo, R.J.2    Zampini, A.3
  • 38
    • 33744543538 scopus 로고
    • A planar diagram theory for strong interactions
    • G. 't Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461.
    • (1974) Nucl. Phys. B , vol.72 , pp. 461
    • 'T Hooft, G.1
  • 40
    • 0035529355 scopus 로고    scopus 로고
    • From large-N matrices to the noncommutative torus
    • [hep-th/9912130]
    • G. Landi, F. Lizzi and R.J. Szabo, From large-N matrices to the noncommutative torus, Commun. Math. Phys. 217 (2001) 181 [hep-th/9912130].
    • (2001) Commun. Math. Phys. , vol.217 , pp. 181
    • Landi, G.1    Lizzi, F.2    Szabo, R.J.3
  • 43
    • 0002538277 scopus 로고
    • Differential operators on a semisimple Lie algebra
    • Harish-Chandra, Differential operators on a semisimple Lie algebra, Am. J. Math. 79 (1957) 87.
    • (1957) Am. J. Math. , vol.79 , pp. 87
    • Harish-Chandra1
  • 44
    • 36749111480 scopus 로고
    • The planar approximation, 2
    • C. Itzykson and J.B. Zuber, The planar approximation, 2, J. Math. Phys. 21 (1980) 411.
    • (1980) J. Math. Phys. , vol.21 , pp. 411
    • Itzykson, C.1    Zuber, J.B.2
  • 45
    • 0005921172 scopus 로고    scopus 로고
    • String-orthogonal polynomials, string equations and two-Toda symmetries
    • [hep-th/9706182]
    • M. Adler and P. van Moerbeke, String-orthogonal polynomials, string equations and two-Toda symmetries, Commun. Pure Appl. Math. 50 (1997) 241 [hep-th/9706182].
    • (1997) Commun. Pure Appl. Math. , vol.50 , pp. 241
    • Adler, M.1    Van Moerbeke, P.2
  • 46
    • 0001060060 scopus 로고
    • Integrable hierarchies and dispersionless limit
    • [hep-th/9405096]
    • K. Takasaki and T. Takebe, Integrable hierarchies and dispersionless limit, Rev. Math. Phys. 7 (1995) 743 [hep-th/9405096].
    • (1995) Rev. Math. Phys. , vol.7 , pp. 743
    • Takasaki, K.1    Takebe, T.2
  • 49
    • 0000099712 scopus 로고
    • Higher genus correlators for the complex matrix model
    • [hep-th/9207020]
    • J. Ambjørn, C.F. Kristjansen and Y.M. Makeenko, Higher genus correlators for the complex matrix model, Mod. Phys. Lett. A 7 (1992) 3187 [hep-th/9207020].
    • (1992) Mod. Phys. Lett. A , vol.7 , pp. 3187
    • Ambjørn, J.1    Kristjansen, C.F.2    Makeenko, Y.M.3
  • 50
    • 0002154158 scopus 로고
    • Strong coupling and mean field methods in lattice gauge theories
    • J.M. Drouffe and J.B. Zuber, Strong coupling and mean field methods in lattice gauge theories, Phys. Rept. 102 (1983) 1.
    • (1983) Phys. Rept. , vol.102 , pp. 1
    • Drouffe, J.M.1    Zuber, J.B.2
  • 51
    • 23044490750 scopus 로고    scopus 로고
    • The renormalizability of 2D Yang-Mills theory on a non-commutative geometry
    • [hep-th/0203151]
    • W. Bietenholz, F. Hofheinz and J. Nishimura, The renormalizability of 2D Yang-Mills theory on a non-commutative geometry, J. High Energy Phys. 09 (2002) 009 [hep-th/0203151].
    • (2002) J. High Energy Phys. , vol.9 , pp. 009
    • Bietenholz, W.1    Hofheinz, F.2    Nishimura, J.3
  • 52
    • 42149197108 scopus 로고
    • Massless scalar field theory in a quantized space-time
    • [hep-th/9501108]
    • J.C. Breckenridge, V. Elias and T.G. Steele, Massless scalar field theory in a quantized space-time, Class. and Quant. Grav. 12 (1995) 637 [hep-th/9501108].
    • (1995) Class. and Quant. Grav. , vol.12 , pp. 637
    • Breckenridge, J.C.1    Elias, V.2    Steele, T.G.3
  • 53
    • 7544246718 scopus 로고    scopus 로고
    • The IR/UV connection in the non-commutative gauge theories
    • [hep-th/0002075]
    • A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the non-commutative gauge theories, J. High Energy Phys. 12 (2000) 002 [hep-th/0002075].
    • (2000) J. High Energy Phys. , vol.12 , pp. 002
    • Matusis, A.1    Susskind, L.2    Toumbas, N.3
  • 54
    • 33744897005 scopus 로고    scopus 로고
    • Wilsonian effective actions and the IR/UV mixing in noncommutative gauge theories
    • [hep-th/0011218]
    • V.V. Khoze and G. Travaglini, Wilsonian effective actions and the IR/UV mixing in noncommutative gauge theories, J. High Energy Phys. 01 (2001) 026 [hep-th/0011218].
    • (2001) J. High Energy Phys. , vol.1 , pp. 026
    • Khoze, V.V.1    Travaglini, G.2
  • 56
    • 0001104472 scopus 로고    scopus 로고
    • Fermionic matrix models
    • [hep-th/9605140]
    • G.W. Semenoff and R.J. Szabo, Fermionic matrix models, Int. J. Mod. Phys. A 12 (1997) 2135 [hep-th/9605140].
    • (1997) Int. J. Mod. Phys. A , vol.12 , pp. 2135
    • Semenoff, G.W.1    Szabo, R.J.2
  • 57
    • 0346763452 scopus 로고    scopus 로고
    • Supersymmetric matrix models and branched polymers
    • [cond-mat/9606041]
    • J. Ambjørn, Y. Makeenko and K. Zarembo, Supersymmetric matrix models and branched polymers, Nucl. Phys. B 482 (1996) 660 [cond-mat/9606041].
    • (1996) Nucl. Phys. B , vol.482 , pp. 660
    • Ambjørn, J.1    Makeenko, Y.2    Zarembo, K.3
  • 58
    • 7044247932 scopus 로고    scopus 로고
    • Manifest supersymmetry in non-commutative geometry
    • [hep-th/9912153]
    • C.S. Chu and F. Zamora, Manifest supersymmetry in non-commutative geometry, J. High Energy Phys. 02 (2000) 022 [hep-th/9912153].
    • (2000) J. High Energy Phys. , vol.2 , pp. 022
    • Chu, C.S.1    Zamora, F.2
  • 59
  • 60
    • 0037429839 scopus 로고    scopus 로고
    • Noncommutative supersymmetry in two dimensions
    • [hep-th/0110005]
    • R. Abbaspur, Noncommutative supersymmetry in two dimensions, Int. J. Mod. Phys. A 18 (2003) 855 [hep-th/0110005].
    • (2003) Int. J. Mod. Phys. A , vol.18 , pp. 855
    • Abbaspur, R.1
  • 61
    • 0142058285 scopus 로고    scopus 로고
    • Non-commutative superspace from string theory
    • [hep-th/0302078]
    • J. de Boer, P.A. Grassi and P. van Nieuwenhuizen, Non-commutative superspace from string theory, Phys. Lett. B 574 (2003) 98 [hep-th/0302078].
    • (2003) Phys. Lett. B , vol.574 , pp. 98
    • De Boer, J.1    Grassi, P.A.2    Van Nieuwenhuizen, P.3
  • 62
    • 0038102703 scopus 로고    scopus 로고
    • Dijkgraaf-vafa theory as large-N reduction
    • [hep-th/0303210]
    • H. Kawai, T. Kuroki and T. Morita, Dijkgraaf-vafa theory as large-N reduction, Nucl. Phys. B 664 (2003) 185 [hep-th/0303210].
    • (2003) Nucl. Phys. B , vol.664 , pp. 185
    • Kawai, H.1    Kuroki, T.2    Morita, T.3
  • 63
    • 23044453083 scopus 로고    scopus 로고
    • A path integral approach to noncommutative superspace
    • [hep-th/0304118]
    • I. Chepelev and C. Ciocarlie, A path integral approach to noncommutative superspace, J. High Energy Phys. 06 (2003) 031 [hep-th/0304118].
    • (2003) J. High Energy Phys. , vol.6 , pp. 031
    • Chepelev, I.1    Ciocarlie, C.2
  • 64
    • 23144444433 scopus 로고    scopus 로고
    • Noncommutative superspace, N = 1/2 supersymmetry, field theory and string theory
    • [hep-th/0305248]
    • N. Seiberg, Noncommutative superspace, N = 1/2 supersymmetry, field theory and string theory, J. High Energy Phys. 06 (2003) 010 [hep-th/0305248].
    • (2003) J. High Energy Phys. , vol.6 , pp. 010
    • Seiberg, N.1
  • 65
    • 23144445470 scopus 로고    scopus 로고
    • Deformed superspace, N = 1/2 supersymmetry and (non)renormatization theorems
    • [hep-th/0306215]
    • R. Britto, B. Feng and S.J. Rey, Deformed superspace, N = 1/2 supersymmetry and (non)renormatization theorems, J. High Energy Phys. 07 (2003) 067 [hep-th/0306215].
    • (2003) J. High Energy Phys. , vol.7 , pp. 067
    • Britto, R.1    Feng, B.2    Rey, S.J.3
  • 66
    • 0141918738 scopus 로고    scopus 로고
    • Noncommutative superspace, supermatrix and lowest Landau level
    • [hep-th/0306251]
    • M. Hatsuda, S. Iso and H. Umetsu, Noncommutative superspace, supermatrix and lowest Landau level, Nucl. Phys. B 671 (2003) 217 [hep-th/0306251].
    • (2003) Nucl. Phys. B , vol.671 , pp. 217
    • Hatsuda, M.1    Iso, S.2    Umetsu, H.3
  • 67
    • 23144444435 scopus 로고    scopus 로고
    • Supersymmetry in noncommutative superspaces
    • [hep-th/0307039]
    • S. Ferrara, M.A. Lledo and O. Macia, Supersymmetry in noncommutative superspaces, J. High Energy Phys. 09 (2003) 068 [hep-th/0307039].
    • (2003) J. High Energy Phys. , vol.9 , pp. 068
    • Ferrara, S.1    Lledo, M.A.2    Macia, O.3
  • 68
    • 0742288608 scopus 로고    scopus 로고
    • Exactly solvable models for 2D correlated fermions
    • [cond-mat/0206045]
    • E. Langmann, Exactly solvable models for 2D correlated fermions, J. Phys. A 37 (2004) 407 [cond-mat/0206045].
    • (2004) J. Phys. A , vol.37 , pp. 407
    • Langmann, E.1
  • 69
    • 44949280789 scopus 로고
    • Particle models and noncommutative geometry
    • A. Connes and J. Lott, Particle models and noncommutative geometry," Nucl. Phys. 18B (Proc. Suppl.) (1991) 29.
    • (1991) Nucl. Phys. , vol.18 B , Issue.PROC. SUPPL. , pp. 29
    • Connes, A.1    Lott, J.2
  • 70
    • 0000704851 scopus 로고
    • The multicritical Kontsevich-Penner model
    • [hep-th/9201033]
    • L. Chekhov and Y. Makeenko, The multicritical Kontsevich-Penner model, Mod. Phys. Lett. A 7 (1992) 1223 [hep-th/9201033].
    • (1992) Mod. Phys. Lett. A , vol.7 , pp. 1223
    • Chekhov, L.1    Makeenko, Y.2
  • 71
    • 0007069457 scopus 로고
    • A hint on the external field problem for matrix models
    • [hep-th/9202006]
    • L. Chekhov and Y. Makeenko, A hint on the external field problem for matrix models, Phys. Lett. B 278 (1992) 271 [hep-th/9202006].
    • (1992) Phys. Lett. B , vol.278 , pp. 271
    • Chekhov, L.1    Makeenko, Y.2
  • 72
    • 0007022342 scopus 로고
    • Multicut solutions of the matrix Kontsevich-Penner model
    • K. Zarembo and L. Chekhov, Multicut solutions of the matrix Kontsevich-Penner model, Theor. Math. Phys. 93 (1992) 1328.
    • (1992) Theor. Math. Phys. , vol.93 , pp. 1328
    • Zarembo, K.1    Chekhov, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.