메뉴 건너뛰기




Volumn 727, Issue 3, 2005, Pages 513-536

Position-dependent noncommutative products: Classical construction and field theory

Author keywords

Generalized deformations; Noncommutative field theory; Nonlocal models; Renormalization

Indexed keywords


EID: 26844433573     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2005.08.016     Document Type: Article
Times cited : (20)

References (44)
  • 1
    • 0007084601 scopus 로고    scopus 로고
    • String theory and noncommutative geometry
    • N. Seiberg E. Witten String theory and noncommutative geometry JHEP 9909 1999 032
    • (1999) JHEP , vol.9909 , pp. 032
    • Seiberg, N.1    Witten, E.2
  • 2
    • 84952911698 scopus 로고
    • Quantum mechanics as a statistical theory
    • J.E. Moyal Quantum mechanics as a statistical theory Proc. Cambridge Philos. Soc. 45 1949 99
    • (1949) Proc. Cambridge Philos. Soc. , vol.45 , pp. 99
    • Moyal, J.E.1
  • 4
    • 0030359659 scopus 로고    scopus 로고
    • Gravity coupled with matter and the foundation of noncommutative geometry
    • A. Connes Gravity coupled with matter and the foundation of noncommutative geometry Commun. Math. Phys. 182 1996 155
    • (1996) Commun. Math. Phys. , vol.182 , pp. 155
    • Connes, A.1
  • 6
    • 0005797073 scopus 로고    scopus 로고
    • Space-time noncommutative field theories and unitarity
    • J. Gomis T. Mehen Space-time noncommutative field theories and unitarity Nucl. Phys. B 591 2000 265
    • (2000) Nucl. Phys. B , vol.591 , pp. 265
    • Gomis, J.1    Mehen, T.2
  • 8
    • 84927761563 scopus 로고    scopus 로고
    • Field theory on noncommutative spacetimes: Quasiplanar Wick products
    • D. Bahns S. Doplicher K. Fredenhagen G. Piacitelli Field theory on noncommutative spacetimes: Quasiplanar Wick products Phys. Rev. D 71 2005 025022
    • (2005) Phys. Rev. D , vol.71 , pp. 025022
    • Bahns, D.1    Doplicher, S.2    Fredenhagen, K.3    Piacitelli, G.4
  • 10
    • 84927740596 scopus 로고    scopus 로고
    • Path integral for space-time noncommutative field theory
    • K. Fujikawa Path integral for space-time noncommutative field theory Phys. Rev. D 70 2004 085006
    • (2004) Phys. Rev. D , vol.70 , pp. 085006
    • Fujikawa, K.1
  • 11
    • 7744222202 scopus 로고    scopus 로고
    • Excitations in hot noncommutative theories
    • K. Landsteiner E. López M.H.G. Tytgat Excitations in hot noncommutative theories JHEP 0009 2000 027
    • (2000) JHEP , vol.9 , pp. 027
    • Landsteiner, K.1    López, E.2    Tytgat, M.H.G.3
  • 12
    • 0035848512 scopus 로고    scopus 로고
    • Paramagnetic dominance, the sign of the beta function and UV/IR mixing in noncommutative U(1)
    • C.P. Martín F. Ruiz Ruiz Paramagnetic dominance, the sign of the beta function and UV/IR mixing in noncommutative U(1) Nucl. Phys. B 597 2001 197
    • (2001) Nucl. Phys. B , vol.597 , pp. 197
    • Martín, C.P.1    Ruiz Ruiz, F.2
  • 13
    • 0035868958 scopus 로고    scopus 로고
    • Gauge-fixing independence of IR divergences in noncommutative U(1), perturbative tachyonic instabilities and supersymmetry
    • F. Ruiz Ruiz Gauge-fixing independence of IR divergences in noncommutative U(1), perturbative tachyonic instabilities and supersymmetry Phys. Lett. B 502 2001 274
    • (2001) Phys. Lett. B , vol.502 , pp. 274
    • Ruiz Ruiz, F.1
  • 14
  • 15
    • 7544246718 scopus 로고    scopus 로고
    • The IR/UV connection in the noncommutative gauge theories
    • A. Matusis L. Susskind N. Toumbas The IR/UV connection in the noncommutative gauge theories JHEP 0012 2000 002
    • (2000) JHEP , vol.12 , pp. 002
    • Matusis, A.1    Susskind, L.2    Toumbas, N.3
  • 17
    • 23044444676 scopus 로고    scopus 로고
    • Cosmological perturbations and short distance physics from noncommutative geometry
    • F. Lizzi G. Mangano G. Miele M. Peloso Cosmological perturbations and short distance physics from noncommutative geometry JHEP 0206 2002 049
    • (2002) JHEP , vol.206 , pp. 049
    • Lizzi, F.1    Mangano, G.2    Miele, G.3    Peloso, M.4
  • 18
    • 0037426773 scopus 로고    scopus 로고
    • Noncommutativity in a time-dependent background
    • L. Dolan C.R. Nappi Noncommutativity in a time-dependent background Phys. Lett. B 551 2003 369
    • (2003) Phys. Lett. B , vol.551 , pp. 369
    • Dolan, L.1    Nappi, C.R.2
  • 19
    • 0041836320 scopus 로고    scopus 로고
    • Effective field theories on noncommutative space-time
    • X. Calmet M. Wohlgennant Effective field theories on noncommutative space-time Phys. Rev. D 68 2003 025016
    • (2003) Phys. Rev. D , vol.68 , pp. 025016
    • Calmet, X.1    Wohlgennant, M.2
  • 20
    • 4644339789 scopus 로고    scopus 로고
    • Construction of gauge theories on curved noncommutative space-time
    • W. Behr A. Sykora Construction of gauge theories on curved noncommutative space-time Nucl. Phys. B 698 2004 473
    • (2004) Nucl. Phys. B , vol.698 , pp. 473
    • Behr, W.1    Sykora, A.2
  • 21
    • 21244435139 scopus 로고    scopus 로고
    • Dualities, twists and gauge theories with nonconstant noncommutativity
    • A. Hashimoto K. Thomas Dualities, twists and gauge theories with nonconstant noncommutativity JHEP 0501 2005 033
    • (2005) JHEP , vol.501 , pp. 033
    • Hashimoto, A.1    Thomas, K.2
  • 22
    • 0036115034 scopus 로고    scopus 로고
    • Nonassociative star product deformations for D-brane worldvolumes in curved backgrounds
    • L. Cornalba R. Schiappa Nonassociative star product deformations for D-brane worldvolumes in curved backgrounds Commun. Math. Phys. 225 2002 33
    • (2002) Commun. Math. Phys. , vol.225 , pp. 33
    • Cornalba, L.1    Schiappa, R.2
  • 25
    • 12944331931 scopus 로고
    • Covariant perturbation theory (II). Second order in the curvature. General algorithms
    • A.O. Barvinsky G.A. Vilkovisky Covariant perturbation theory (II). Second order in the curvature. General algorithms Nucl. Phys. B 333 1990 471
    • (1990) Nucl. Phys. B , vol.333 , pp. 471
    • Barvinsky, A.O.1    Vilkovisky, G.A.2
  • 27
    • 3843152796 scopus 로고    scopus 로고
    • Deformation quantization of Poisson manifolds
    • M. Kontsevich Deformation quantization of Poisson manifolds Lett. Math. Phys. 66 2003 157
    • (2003) Lett. Math. Phys. , vol.66 , pp. 157
    • Kontsevich, M.1
  • 28
    • 18444393380 scopus 로고    scopus 로고
    • Noncommutative theories and general coordinate transformations
    • C.D. Fosco G. Torroba Noncommutative theories and general coordinate transformations Phys. Rev. D 71 2005 065012
    • (2005) Phys. Rev. D , vol.71 , pp. 065012
    • Fosco, C.D.1    Torroba, G.2
  • 29
    • 33745040449 scopus 로고
    • On the principles of elementary quantum mechanics
    • H.J. Groenewold On the principles of elementary quantum mechanics Physica 12 1946 405-460
    • (1946) Physica , vol.12 , pp. 405-460
    • Groenewold, H.J.1
  • 30
    • 84958736867 scopus 로고
    • The exact transition probabilities of quantum-mechanical oscillators calculated by the phase-space method
    • M.S. Bartlett J.E. Moyal The exact transition probabilities of quantum-mechanical oscillators calculated by the phase-space method Proc. Cambridge Philos. Soc. 45 1949 545-553
    • (1949) Proc. Cambridge Philos. Soc. , vol.45 , pp. 545-553
    • Bartlett, M.S.1    Moyal, J.E.2
  • 31
    • 36549090874 scopus 로고
    • Algebras of distributions suitable for phase-space quantum mechanics. I
    • J.M. Gracia-Bondía J.C. Várilly Algebras of distributions suitable for phase-space quantum mechanics. I J. Math. Phys. 29 1988 869
    • (1988) J. Math. Phys. , vol.29 , pp. 869
    • Gracia-Bondía, J.M.1    Várilly, J.C.2
  • 32
    • 36549100229 scopus 로고
    • Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra
    • J.C. Várilly J.M. Gracia-Bondía Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra J. Math. Phys. 29 1988 880
    • (1988) J. Math. Phys. , vol.29 , pp. 880
    • Várilly, J.C.1    Gracia-Bondía, J.M.2
  • 33
    • 26844456017 scopus 로고    scopus 로고
    • Heat-kernel approach to UV/IR mixing on isospectral deformation manifolds
    • hep-th/0412233 Ann. Inst. H. Poincaré in press
    • V. Gayral Heat-kernel approach to UV/IR mixing on isospectral deformation manifolds hep-th/0412233 Ann. Inst. H. Poincaré, in press
    • Gayral, V.1
  • 34
    • 26844554785 scopus 로고    scopus 로고
    • Dixmier traces on noncompact isospectral deformations
    • in preparation
    • V. Gayral, B. Iochum, J.C. Várilly, Dixmier traces on noncompact isospectral deformations, in preparation
    • Gayral, V.1    Iochum, B.2    Várilly, J.C.3
  • 35
    • 0000595944 scopus 로고    scopus 로고
    • Noncommutative manifolds, the instanton algebra and isospectral deformations
    • A. Connes G. Landi Noncommutative manifolds, the instanton algebra and isospectral deformations Commun. Math. Phys. 221 2001 141
    • (2001) Commun. Math. Phys. , vol.221 , pp. 141
    • Connes, A.1    Landi, G.2
  • 36
    • 0036026977 scopus 로고    scopus 로고
    • Noncommutative finite-dimensional manifolds. I. Spherical manifolds and related examples
    • A. Connes M. Dubois-Violette Noncommutative finite-dimensional manifolds. I. Spherical manifolds and related examples Commun. Math. Phys. 230 2002 539
    • (2002) Commun. Math. Phys. , vol.230 , pp. 539
    • Connes, A.1    Dubois-Violette, M.2
  • 37
    • 0032210257 scopus 로고    scopus 로고
    • Hopf algebras, cyclic cohomology and the transverse index theorem
    • A. Connes H. Moscovici Hopf algebras, cyclic cohomology and the transverse index theorem Commun. Math. Phys. 198 1998 198
    • (1998) Commun. Math. Phys. , vol.198 , pp. 198
    • Connes, A.1    Moscovici, H.2
  • 39
    • 17444364853 scopus 로고    scopus 로고
    • The spectral action for Moyal planes
    • hep-th/0402147 in press
    • V. Gayral B. Iochum The spectral action for Moyal planes hep-th/0402147 J. Math. Phys., in press
    • J. Math. Phys.
    • Gayral, V.1    Iochum, B.2
  • 42
    • 0037136201 scopus 로고    scopus 로고
    • UV/IR mixing and the Goldstone theorem in noncommutative field theory
    • F. Ruiz Ruiz UV/IR mixing and the Goldstone theorem in noncommutative field theory Nucl. Phys. B 637 2002 143
    • (2002) Nucl. Phys. B , vol.637 , pp. 143
    • Ruiz Ruiz, F.1
  • 43
    • 0043208165 scopus 로고    scopus 로고
    • d and the equivalence of quantum field theories
    • d and the equivalence of quantum field theories Nucl. Phys. B 581 2000 559
    • (2000) Nucl. Phys. B , vol.581 , pp. 559
    • Oeckl, R.1
  • 44
    • 9144258019 scopus 로고    scopus 로고
    • On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative quantum field theory
    • M. Chaichian P.P. Kulish K. Nishijima A. Tureanu On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative quantum field theory Phys. Lett. B 604 2004 98
    • (2004) Phys. Lett. B , vol.604 , pp. 98
    • Chaichian, M.1    Kulish, P.P.2    Nishijima, K.3    Tureanu, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.