메뉴 건너뛰기




Volumn , Issue 9, 2005, Pages

The beat of a fuzzy drum: Fuzzy Bessel functions for the disc

Author keywords

Lattice Quantum Field Theory; Matrix Models; Non Commutative Geometry

Indexed keywords


EID: 26044443991     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/09/080     Document Type: Article
Times cited : (23)

References (49)
  • 9
    • 33745021425 scopus 로고    scopus 로고
    • Scaling limits of the fuzzy sphere at one loop
    • C.S. Chu, J. Madore and H. Steinacker, Scaling limits of the fuzzy sphere at one loop 2001 J. High Energy Phys. JHEP08(2001)038 [hep-th/0106205]
    • (2001) J. High Energy Phys. , vol.2001 , Issue.8 , pp. 038
    • Chu, C.S.1    Madore, J.2    Steinacker, H.3
  • 10
    • 0001632097 scopus 로고    scopus 로고
    • On spherical harmonics for fuzzy spheres in diverse dimensions
    • S. Ramgoolam, On spherical harmonics for fuzzy spheres in diverse dimensions 2001 Nucl. Phys. B 610 461 [hep-th/0105006]
    • (2001) Nucl. Phys. , vol.610 , Issue.3 , pp. 461
    • Ramgoolam, S.1
  • 11
    • 0040240370 scopus 로고    scopus 로고
    • Towards finite quantum field theory in noncommutative geometry
    • H. Grosse, C. Klimcík and P. Presnajder, Towards finite quantum field theory in noncommutative geometry 1996 Int. J. Theor. Phys. 35 231 [hep-th/9505175]
    • (1996) Int. J. Theor. Phys. , vol.35 , Issue.2 , pp. 231
    • Grosse, H.1    Klimcík, C.2    Presnajder, P.3
  • 12
    • 0034349024 scopus 로고    scopus 로고
    • Noncommutative geometry and gauge theory on fuzzy sphere
    • U. Carow-Watamura and S. Watamura, Noncommutative geometry and gauge theory on fuzzy sphere 2000 Comm. Math. Phys. 212 395 [hep-th/9801195]
    • (2000) Comm. Math. Phys. , vol.212 , Issue.2 , pp. 395
    • Carow-Watamura, U.1    Watamura, S.2
  • 14
    • 0000718004 scopus 로고    scopus 로고
    • Noncommutative gauge theory on fuzzy sphere from matrix model
    • S. Iso, Y. Kimura, K. Tanaka and K. Wakatsuki, Noncommutative gauge theory on fuzzy sphere from matrix model 2001 Nucl. Phys. B 604 121 [hep-th/0101102]
    • (2001) Nucl. Phys. , vol.604 , Issue.1-2 , pp. 121
    • Iso, S.1    Kimura, Y.2    Tanaka, K.3    Wakatsuki, K.4
  • 15
    • 0035539552 scopus 로고    scopus 로고
    • Noncommutative gauge theories on fuzzy sphere and fuzzy torus from matrix model
    • Y. Kimura, Noncommutative gauge theories on fuzzy sphere and fuzzy torus from matrix model 2001 Prog. Theor. Phys. 106 445 [hep-th/0103192]
    • (2001) Prog. Theor. Phys. , vol.106 , Issue.2 , pp. 445
    • Kimura, Y.1
  • 16
    • 0037121540 scopus 로고    scopus 로고
    • Non-commutative gauge theory of twisted D-branes
    • A.Y. Alekseev, S. Fredenhagen, T. Quella and V. Schomerus, Non-commutative gauge theory of twisted D-branes 2002 Nucl. Phys. B 646 127 [hep-th/0205123]
    • (2002) Nucl. Phys. , vol.646 , Issue.1-2 , pp. 127
    • Alekseev, A.Y.1    Fredenhagen, S.2    Quella, T.3    Schomerus, V.4
  • 17
    • 0347753324 scopus 로고    scopus 로고
    • Quantized gauge theory on the fuzzy sphere as random matrix model
    • H. Steinacker, Quantized gauge theory on the fuzzy sphere as random matrix model 2004 Nucl. Phys. B 679 66 [hep-th/0307075]
    • (2004) Nucl. Phys. , vol.679 , pp. 66
    • Steinacker, H.1
  • 18
    • 0141918735 scopus 로고    scopus 로고
    • On the origin of the uv-ir mixing in noncommutative matrix geometry
    • S. Vaidya and B. Ydri, On the origin of the uv-ir mixing in noncommutative matrix geometry 2003 Nucl. Phys. B 671 401 [hep-th/0305201]
    • (2003) Nucl. Phys. , vol.671 , pp. 401
    • Vaidya, S.1    Ydri, B.2
  • 19
    • 20744446470 scopus 로고    scopus 로고
    • A perturbative approach to fuzzifying field theories
    • A. Pinzul and A. Stern, A perturbative approach to fuzzifying field theories 2005 Nucl. Phys. B 718 371 [hep-th/0502018]
    • (2005) Nucl. Phys. , vol.718 , Issue.3 , pp. 371
    • Pinzul, A.1    Stern, A.2
  • 20
    • 0037136141 scopus 로고    scopus 로고
    • Noncommutative gauge theory on fuzzy four-sphere and matrix model
    • Y. Kimura, Noncommutative gauge theory on fuzzy four-sphere and matrix model 2002 Nucl. Phys. B 637 177 [hep-th/0204256]
    • (2002) Nucl. Phys. , vol.637 , Issue.1-3 , pp. 177
    • Kimura, Y.1
  • 22
    • 84972491035 scopus 로고
    • C*-algebras associated with irrational rotations
    • M. Rieffel, C*-algebras associated with irrational rotations, Pacific J. Math. 93 1981 415
    • (1981) Pacific J. Math. , vol.93 , pp. 415
    • Rieffel, M.1
  • 23
    • 0001343595 scopus 로고
    • Noncommutative tori - A case study of noncommutative differentiable manifold
    • M. Rieffel, Noncommutative tori - a case study of noncommutative differentiable manifold 1990 Contemp. Math. 105 191
    • (1990) Contemp. Math. , vol.105
    • Rieffel, M.1
  • 24
    • 26044449105 scopus 로고    scopus 로고
    • F. Lizzi, Fuzzy two-dimensional spaces proceedings to the Euroconference Beyond the standard model, Portoroz, 2003, N. Mankoc Borstnik, H.B Nielsen, C.D. Froggatt, D. Lukman eds., [hep-ph/0401043]
    • Fuzzy Two-dimensional Spaces
    • Lizzi, F.1
  • 25
    • 0042708469 scopus 로고    scopus 로고
    • Noncommutative geometry and the regularization problem of 4d quantum field theory
    • H. Grosse and A. Strohmaier, Noncommutative geometry and the regularization problem of 4d quantum field theory 1999 Lett. Math. Phys. 48 163 [hep-th/9902138]
    • (1999) Lett. Math. Phys. , vol.48 , Issue.2 , pp. 163
    • Grosse, H.1    Strohmaier, A.2
  • 28
    • 0035913330 scopus 로고    scopus 로고
    • Perturbative dynamics on fuzzy S2 and RP2
    • 2 2001 Phys. Lett. B 512 403 [hep-th/0102212]
    • (2001) Phys. Lett. , vol.512 , Issue.3-4 , pp. 403
    • Vaidya, S.1
  • 30
    • 0348143089 scopus 로고    scopus 로고
    • From the fuzzy disc to edge currents in Chern-Simons theory
    • F. Lizzi, P. Vitale and A. Zampini, From the fuzzy disc to edge currents in Chern-Simons theory 2003 Mod. Phys. Lett. A 18 2381 [hep-th/0309128]
    • (2003) Mod. Phys. Lett. , vol.18 , Issue.33-35 , pp. 2381
    • Lizzi, F.1    Vitale, P.2    Zampini, A.3
  • 31
    • 23044440022 scopus 로고    scopus 로고
    • Edge currents in non-commutative Chern-Simons theory from a new matrix model
    • A.P. Balachandran, K.S. Gupta and S. Kurkcuoglu, Edge currents in non-commutative Chern-Simons theory from a new matrix model 2003 J. High Energy Phys. JHEP09(2003)007 [hep-th/0306255]
    • (2003) J. High Energy Phys. , vol.2003 , Issue.9 , pp. 007
    • Balachandran, A.P.1    Gupta, K.S.2    Kurkcuoglu, S.3
  • 32
    • 0347513117 scopus 로고    scopus 로고
    • Edge states from defects on the noncommutative plane
    • A. Pinzul and A. Stern, Edge states from defects on the noncommutative plane 2003 Mod. Phys. Lett. A 18 2509 [hep-th/0307234]
    • (2003) Mod. Phys. Lett. , vol.18 , Issue.33-35 , pp. 2509
    • Pinzul, A.1    Stern, A.2
  • 33
    • 5344280691 scopus 로고
    • General concept of quantization
    • F.A. Berezin, General concept of quantization 1975 Comm. Math. Phys. 40 153
    • (1975) Comm. Math. Phys. , vol.40 , Issue.2 , pp. 153
    • Berezin, F.A.1
  • 34
    • 0001404845 scopus 로고
    • Moyal quantization with compact symmetry groups and noncommutative harmonic analysis
    • H. Figueroa, J.M. Gracia-Bondía, J.C. Vá rilly, Moyal quantization with compact symmetry groups and noncommutative harmonic analysis 1990 J. Math. Phys. 31 2664
    • (1990) J. Math. Phys. , vol.31 , Issue.11 , pp. 2664
    • Figueroa, H.1    Gracia-Bondía, J.M.2    Vá Rilly, J.C.3
  • 35
    • 0000978330 scopus 로고
    • The construction on noncommutative manifolds using coherent states
    • H. Grosse and P. Presnajder, The construction on noncommutative manifolds using coherent states 1993 Lett. Math. Phys. 28 239
    • (1993) Lett. Math. Phys. , vol.28 , Issue.3 , pp. 239
    • Grosse, H.1    Presnajder, P.2
  • 39
    • 0000818498 scopus 로고
    • Wentzel-Kramers-Brillouin method in the Bargmann representation
    • A. Voros, Wentzel-Kramers-Brillouin method in the Bargmann representation 1989 Phys. Rev. A 40 6814
    • (1989) Phys. Rev. , vol.40 , Issue.12 , pp. 6814
    • Voros, A.1
  • 40
    • 0000173369 scopus 로고    scopus 로고
    • Generalized coherent state approach to star products and applications to the fuzzy sphere
    • G. Alexanian, A. Pinzul and A. Stern, Generalized coherent state approach to star products and applications to the fuzzy sphere 2001 Nucl. Phys. B 600 531 [hep-th/0010187]
    • (2001) Nucl. Phys. , vol.600 , Issue.3 , pp. 531
    • Alexanian, G.1    Pinzul, A.2    Stern, A.3
  • 41
    • 33745040449 scopus 로고
    • On the principles of elementary quantum mechanics
    • H.J. Groenewold, On the principles of elementary quantum mechanics 1946 Physica 12 405
    • (1946) Physica , vol.12 , Issue.7 , pp. 405
    • Groenewold, H.J.1
  • 42
    • 84952911698 scopus 로고
    • Quantum mechanics as a statistical theory
    • J.E. Moyal, Quantum mechanics as a statistical theory 1949 Proc. Cambridge Phil. Soc. 45 99
    • (1949) Proc. Cambridge Phil. Soc. , vol.45
    • Moyal, J.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.