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Volumn 7, Issue 8, 2003, Pages 1071-1088

Noncommutative chiral anomaly and the Dirac-Ginsparg-Wilson operator

Author keywords

Anomalies in Field and String Theories; Matrix Models; Non Commutative Geometry

Indexed keywords


EID: 22144480638     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/08/046     Document Type: Article
Times cited : (16)

References (34)
  • 2
    • 0001129349 scopus 로고    scopus 로고
    • Finite quantum field theory in noncommutative geometry
    • [hep-th/9602115]
    • H. Grosse, C. Klimčík and P. Prešnajder, Finite quantum field theory in noncommutative geometry, Commun. Math. Phys. 180 (1996) 429 [hep-th/9602115];
    • (1996) Commun. Math. Phys. , vol.180 , pp. 429
    • Grosse, H.1    Klimčík, C.2    Prešnajder, P.3
  • 3
    • 0040240370 scopus 로고    scopus 로고
    • Towards finite quantum field theory in noncommutative geometry
    • [hep-th/9505175]
    • Towards finite quantum field theory in noncommutative geometry, Int. J. Theor. Phys. 35 (1996) 231 [hep-th/9505175].
    • (1996) Int. J. Theor. Phys. , vol.35 , pp. 231
  • 5
    • 0034697611 scopus 로고    scopus 로고
    • The fermion doubling problem and noncommutative geometry
    • [hep-th/9911087]
    • A.P. Balachandran, T.R. Govindarajan and B. Ydri, The fermion doubling problem and noncommutative geometry, Mod. Phys. Lett. A 15 (2000) 1279 [hep-th/9911087];
    • (2000) Mod. Phys. Lett. A , vol.15 , pp. 1279
    • Balachandran, A.P.1    Govindarajan, T.R.2    Ydri, B.3
  • 7
    • 0034697611 scopus 로고    scopus 로고
    • The fermion doubling problem and noncommutative geometry
    • [hep-th/9911087]
    • The fermion doubling problem and noncommutative geometry, Mod. Phys. Lett. A 15 (2000) 1279 [hep-th/9911087].
    • (2000) Mod. Phys. Lett. A , vol.15 , pp. 1279
  • 9
    • 0001716410 scopus 로고
    • The Dirac operator on the fuzzy sphere
    • H. Grosse and P. Prešnajder, The Dirac operator on the fuzzy sphere, Lett. Math. Phys. 33 (1995) 171;
    • (1995) Lett. Math. Phys. , vol.33 , pp. 171
    • Grosse, H.1    Prešnajder, P.2
  • 10
    • 0040062388 scopus 로고
    • Topologically nontrivial field configurations in noncommutative geometry
    • H. Grosse, C. Klimčík and P. Prešnajder, Topologically nontrivial field configurations in noncommutative geometry, Commun. Math. Phys. 178 (1986) 507;
    • (1986) Commun. Math. Phys. , vol.178 , pp. 507
    • Grosse, H.1    Klimčík, C.2    Prešnajder, P.3
  • 11
    • 23044432480 scopus 로고
    • N = 2 superalgebra and non-commutative geometry
    • [hep-th/9603071]
    • N = 2 superalgebra and non-commutative geometry, in Les Hauches Summer School on Theoretical Physics, 1995, [hep-th/9603071].
    • (1995) Les Hauches Summer School on Theoretical Physics
  • 12
    • 0035834967 scopus 로고    scopus 로고
    • Instantons and chiral anomaly in fuzzy physics
    • [hep-th/9910129]
    • A.P. Balachandran and S. Vaidya, Instantons and chiral anomaly in fuzzy physics, Int. J. Mod. Phys. A 16 (2001) 17 [hep-th/9910129].
    • (2001) Int. J. Mod. Phys. A , vol.16 , pp. 17
    • Balachandran, A.P.1    Vaidya, S.2
  • 14
    • 0034347350 scopus 로고    scopus 로고
    • The origin of chiral anomaly and the noncommutative geometry
    • [hep-th/9912050]
    • P. Prešnajder, The origin of chiral anomaly and the noncommutative geometry, J. Math. Phys. 41 (2000) 2789 [hep-th/9912050];
    • (2000) J. Math. Phys. , vol.41 , pp. 2789
    • Prešnajder, P.1
  • 15
    • 0034347350 scopus 로고    scopus 로고
    • The origin of chiral anomaly and the noncommutative geometry
    • [hep-th/9912050]
    • The origin of chiral anomaly and the noncommutative geometry, J. Math. Phys. 41 (2000) 2789 [hep-th/9912050].
    • (2000) J. Math. Phys. , vol.41 , pp. 2789
  • 16
    • 0038779474 scopus 로고    scopus 로고
    • Ginsparg- Wilson relation, topological invariants and finite noncommutative geometry
    • [hep-th/0209223]
    • H. Aoki, S. Iso and K. Nagao, Ginsparg- Wilson relation, topological invariants and finite noncommutative geometry, Phys. Rev. D 67 (2003) 085005 [hep-th/0209223];
    • (2003) Phys. Rev. D , vol.67 , pp. 085005
    • Aoki, H.1    Iso, S.2    Nagao, K.3
  • 17
    • 0038407919 scopus 로고    scopus 로고
    • Chiral anomaly on fuzzy 2-sphere
    • [hep-th/0209137]
    • Chiral anomaly on fuzzy 2-sphere, Phys. Rev. D 67 (2003) 065018 [hep-th/0209137].
    • (2003) Phys. Rev. D , vol.67 , pp. 065018
  • 19
    • 33745029882 scopus 로고    scopus 로고
    • Noncommutative chiral gauge theories on the lattice with manifest star-gauge invariance
    • [hep-th/0107110]
    • J. Nishimura and M.A. Vazquez-Mozo, Noncommutative chiral gauge theories on the lattice with manifest star-gauge invariance, J. High Energy Phys. 08 (2001) 033 [hep-th/0107110];
    • (2001) J. High Energy Phys. , vol.8 , pp. 033
    • Nishimura, J.1    Vazquez-Mozo, M.A.2
  • 20
    • 23044443546 scopus 로고    scopus 로고
    • Lattice perturbation theory in noncommutative geometry and parity anomaly in 3d noncommutative QED
    • [hep-lat/0210017]
    • Lattice perturbation theory in noncommutative geometry and parity anomaly in 3d noncommutative QED, J. High Energy Phys. 01 (2003) 075 [hep-lat/0210017].
    • (2003) J. High Energy Phys. , vol.1 , pp. 075
  • 24
    • 0037089887 scopus 로고    scopus 로고
    • Spectrum of schroedinger field in a noncommutative magnetic monopole
    • [hep-th/0111249]
    • D. Karabali, V.P. Nair and A.P. Polychronakos, Spectrum of schroedinger field in a noncommutative magnetic monopole, Nucl. Phys. B 627 (2002) 565 [hep-th/0111249].
    • (2002) Nucl. Phys. B , vol.627 , pp. 565
    • Karabali, D.1    Nair, V.P.2    Polychronakos, A.P.3
  • 25
    • 0031542566 scopus 로고    scopus 로고
    • Chirality and Dirac operator on noncommutative sphere
    • [hep-th/9605003]
    • U. Carow-Watamura and S. Watamura, Chirality and Dirac operator on noncommutative sphere, Commun. Math. Phys. 183 (1997) 365 [hep-th/9605003];
    • (1997) Commun. Math. Phys. , vol.183 , pp. 365
    • Carow-Watamura, U.1    Watamura, S.2
  • 26
    • 0034349024 scopus 로고    scopus 로고
    • Noncommutative geometry and gauge theory on fuzzy sphere
    • [hep-th/9801195]
    • Noncommutative geometry and gauge theory on fuzzy sphere, Commun. Math. Phys. 212 (2000) 395 [hep-th/9801195].
    • (2000) Commun. Math. Phys. , vol.212 , pp. 395
  • 27
    • 34248672956 scopus 로고
    • Path integral measure for gauge invariant fermion theories
    • K. Fujikawa, Path integral measure for gauge invariant fermion theories, Phys. Rev. Lett. 42 (1979) 1195;
    • (1979) Phys. Rev. Lett. , vol.42 , pp. 1195
    • Fujikawa, K.1
  • 28
    • 4243648786 scopus 로고
    • Path integral for gauge theories with fermions
    • Path integral for gauge theories with fermions, Phys. Rev. D 21 (1980) 2848.
    • (1980) Phys. Rev. D , vol.21 , pp. 2848
  • 29
    • 33745021425 scopus 로고    scopus 로고
    • Scaling limits of the fuzzy sphere at one loop
    • [hep-th/0106205]
    • C.-S. Chu, J. Madore and H. Steinacker, Scaling limits of the fuzzy sphere at one loop, J. High Energy Phys. 08 (2001) 038 [hep-th/0106205];
    • (2001) J. High Energy Phys. , vol.8 , pp. 038
    • Chu, C.-S.1    Madore, J.2    Steinacker, H.3
  • 30
    • 0035913330 scopus 로고    scopus 로고
    • 2
    • [hep-th/0102212]
    • 2, Phys. Lett. B 512 (2001) 403 [hep-th/0102212];
    • (2001) Phys. Lett. B , vol.512 , pp. 403
    • Vaidya, S.1


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