메뉴 건너뛰기




Volumn 6, Issue 9, 2002, Pages 513-521

Axial anomaly with the overlap-Dirac operator in arbitrary dimensions

Author keywords

Anomalies in Field and String Theories; Gauge Symmetry; Lattice Gauge Field Theories; Renormalization Regularization and Renormalons

Indexed keywords


EID: 23044498499     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/09/025     Document Type: Article
Times cited : (11)

References (35)
  • 1
    • 0347333652 scopus 로고    scopus 로고
    • Exactly massless quarks on the lattice
    • [hep-lat/9707022]
    • H. Neuberger, Exactly massless quarks on the lattice, Phys. Lett. B 417 (1998) 141 [hep-lat/9707022];
    • (1998) Phys. Lett. B , vol.417 , pp. 141
    • Neuberger, H.1
  • 2
    • 0346992722 scopus 로고    scopus 로고
    • More about exactly massless quarks on the lattice
    • [hep-lat/9801031]
    • More about exactly massless quarks on the lattice, Phys. Lett. B 427 (1998) 353 [hep-lat/9801031].
    • (1998) Phys. Lett. B , vol.427 , pp. 353
  • 3
    • 0001556266 scopus 로고    scopus 로고
    • Weak coupling expansion of massless QCD with a Ginsparg- Wilson fermion and axial U(1) anomaly
    • [hep-lat/9806013]
    • Y. Kikukawa and A. Yamada, Weak coupling expansion of massless QCD with a Ginsparg- Wilson fermion and axial U(1) anomaly, Phys. Lett. B 448 (1999) 265 [hep-lat/9806013].
    • (1999) Phys. Lett. B , vol.448 , pp. 265
    • Kikukawa, Y.1    Yamada, A.2
  • 4
    • 0033606025 scopus 로고    scopus 로고
    • A continuum limit of the chiral jacobian in lattice gauge theory
    • [hep-th/9811235]
    • K. Fujikawa, A continuum limit of the chiral jacobian in lattice gauge theory, Nucl. Phys. B 546 (1999) 480 [hep-th/9811235].
    • (1999) Nucl. Phys. B , vol.546 , pp. 480
    • Fujikawa, K.1
  • 5
    • 0037088314 scopus 로고    scopus 로고
    • Axial anomaly and topological charge in lattice gauge theory with overlap-dirac operator
    • [hep-lat/9812003]
    • D.H. Adams, Axial anomaly and topological charge in lattice gauge theory with overlap-dirac operator, Annals Phys. 296 (2002) 131 [hep-lat/9812003];
    • (2002) Annals Phys. , vol.296 , pp. 131
    • Adams, D.H.1
  • 6
    • 0035540626 scopus 로고    scopus 로고
    • On the continuum limit of fermionic topological charge in lattice gauge theory
    • [hep-lat/0009026]
    • On the continuum limit of fermionic topological charge in lattice gauge theory, J. Math. Phys. 42 (2001) 5522 [hep-lat/0009026].
    • (2001) J. Math. Phys. , vol.42 , pp. 5522
  • 7
    • 0033245143 scopus 로고    scopus 로고
    • Simple evaluation of chiral jacobian with the overlap Dirac operator
    • [hep-th/9812019]
    • H. Suzuki, Simple evaluation of chiral jacobian with the overlap Dirac operator, Prog. Theor. Phys. 102 (1999) 141 [hep-th/9812019].
    • (1999) Prog. Theor. Phys. , vol.102 , pp. 141
    • Suzuki, H.1
  • 9
    • 0001088747 scopus 로고    scopus 로고
    • The axial anomaly in lattice QED: A universal point of view
    • [hep-lat/9903003]
    • T. Reisz and H. J. Rothe, The axial anomaly in lattice QED: a universal point of view, Phys. Lett. B 455 (1999) 246 [hep-lat/9903003].
    • (1999) Phys. Lett. B , vol.455 , pp. 246
    • Reisz, T.1    Rothe, H.J.2
  • 10
    • 4243778285 scopus 로고    scopus 로고
    • Universality of the axial anomaly in lattice QCD
    • [hep-lat/0004005]
    • M. Frewer and H.J. Rothe, Universality of the axial anomaly in lattice QCD, Phys. Rev. D 63 (2001) 054506 [hep-lat/0004005].
    • (2001) Phys. Rev. D , vol.63 , pp. 054506
    • Frewer, M.1    Rothe, H.J.2
  • 11
    • 0034723499 scopus 로고    scopus 로고
    • Weyl fermions on the lattice and the non-abelian gauge anomaly
    • [hep-lat/9904009]
    • M. Lüscher, Weyl fermions on the lattice and the non-abelian gauge anomaly, Nucl. Phys. B 568 (2000) 162 [hep-lat/9904009].
    • (2000) Nucl. Phys. B , vol.568 , pp. 162
    • Lüscher, M.1
  • 12
    • 0001796335 scopus 로고
    • An introduction to anomalies
    • HUTP-85/A092, lectures given at Erice, Italy, Jul 1-14
    • See, for example, L. Alvarez-Gaumé, An introduction to anomalies, HUTP-85/A092, lectures given at Int. School on Mathematical Physics, Erice, Italy, Jul 1-14, 1985.
    • (1985) Int. School on Mathematical Physics
    • Alvarez-Gaumé, L.1
  • 13
    • 0000842479 scopus 로고
    • Lattice fermions and theta vacua
    • erratum ibid. D26 (1982) 534
    • E. Seiler and I.O. Stamatescu, Lattice fermions and theta vacua, Phys. Rev. D 25 (1982) 2177, erratum ibid. D26 (1982) 534.
    • (1982) Phys. Rev. D , vol.25 , pp. 2177
    • Seiler, E.1    Stamatescu, I.O.2
  • 14
    • 0009163710 scopus 로고
    • The Wess-Zumino term in lattice theories
    • S. Aoki and I. Ichinose, The Wess-Zumino term in lattice theories, Nucl. Phys. B 272 (1986) 281.
    • (1986) Nucl. Phys. B , vol.272 , pp. 281
    • Aoki, S.1    Ichinose, I.2
  • 15
    • 0009089068 scopus 로고
    • Lattice fermions and nonabelian anomaly
    • S. Aoki, Lattice fermions and nonabelian anomaly, Phys. Rev. D 35 (1987) 1435.
    • (1987) Phys. Rev. D , vol.35 , pp. 1435
    • Aoki, S.1
  • 16
    • 0001510184 scopus 로고    scopus 로고
    • Remark on Pauli-Villars lagrangian on the lattice
    • [hep-th/9608025]
    • K. Haga, H. Igarashi, K. Okuyama and H. Suzuki, Remark on Pauli-Villars lagrangian on the lattice, Phys. Rev. D 55 (1997) 5325 [hep-th/9608025].
    • (1997) Phys. Rev. D , vol.55 , pp. 5325
    • Haga, K.1    Igarashi, H.2    Okuyama, K.3    Suzuki, H.4
  • 17
    • 0000401937 scopus 로고    scopus 로고
    • Chiral anomaly for a new class of lattice Dirac operators
    • [hep-lat/0005003]
    • K. Fujikawa and M. Ishibashi, Chiral anomaly for a new class of lattice Dirac operators, Nucl. Phys. B 587 (2000) 419 [hep-lat/0005003].
    • (2000) Nucl. Phys. B , vol.587 , pp. 419
    • Fujikawa, K.1    Ishibashi, M.2
  • 18
    • 0001528035 scopus 로고
    • Parity anomaly and fermion boson transmutation in three-dimensional lattice QED
    • A. Coste and M. Lüscher, Parity anomaly and fermion boson transmutation in three-dimensional lattice QED, Nucl. Phys. B 323 (1989) 631.
    • (1989) Nucl. Phys. B , vol.323 , pp. 631
    • Coste, A.1    Lüscher, M.2
  • 19
    • 0001170031 scopus 로고
    • Chern-Simons currents and chiral fermions on the lattice
    • [hep-lat/9209003]
    • M.F.L. Golterman, K. Jansen and D.B. Kaplan, Chern-Simons currents and chiral fermions on the lattice, Phys. Lett. B 301 (1993) 219 [hep-lat/9209003].
    • (1993) Phys. Lett. B , vol.301 , pp. 219
    • Golterman, M.F.L.1    Jansen, K.2    Kaplan, D.B.3
  • 20
    • 33744770599 scopus 로고
    • A remnant of chiral symmetry on the lattice
    • P.H. Ginsparg and K.G. Wilson, A remnant of chiral symmetry on the lattice, Phys. Rev. D 25 (1982) 2649.
    • (1982) Phys. Rev. D , vol.25 , pp. 2649
    • Ginsparg, P.H.1    Wilson, K.G.2
  • 21
    • 0347623633 scopus 로고    scopus 로고
    • Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
    • [hep-lat/9802011]
    • M. Lüscher, Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation, Phys. Lett. B 428 (1998) 342 [hep-lat/9802011].
    • (1998) Phys. Lett. B , vol.428 , pp. 342
    • Lüscher, M.1
  • 22
    • 18044390949 scopus 로고    scopus 로고
    • Lattice QCD with Ginsparg-Wilson fermions
    • [hep-lat/9805015]
    • S. Chandrasekharan, Lattice QCD with Ginsparg-Wilson fermions, Phys. Rev. D 60 (1999) 074503 [hep-lat/9805015].
    • (1999) Phys. Rev. D , vol.60 , pp. 074503
    • Chandrasekharan, S.1
  • 23
    • 0000506545 scopus 로고    scopus 로고
    • Gauged Gross-Neveu model with overlap fermions
    • [hep-lat/9912011]
    • I. Ichinose and K. Nagao, Gauged Gross-Neveu model with overlap fermions, Chin. J. Phys. 38 (2000) 671 [hep-lat/9912011];
    • (2000) Chin. J. Phys. , vol.38 , pp. 671
    • Ichinose, I.1    Nagao, K.2
  • 24
    • 0034732576 scopus 로고    scopus 로고
    • Gross-Neveu model with overlap fermions
    • Gross-Neveu model with overlap fermions, Mod. Phys. Lett. A 15 (2000) 857;
    • (2000) Mod. Phys. Lett. A , vol.15 , pp. 857
  • 25
    • 0034686099 scopus 로고    scopus 로고
    • Lattice QCD with the overlap fermions at strong gauge coupling
    • [hep-lat/9910031]
    • Lattice QCD with the overlap fermions at strong gauge coupling, Nucl. Phys. B 577 (2000) 279 [hep-lat/9910031];
    • (2000) Nucl. Phys. B , vol.577 , pp. 279
  • 26
    • 0035952430 scopus 로고    scopus 로고
    • Lattice QCD with the overlap fermions at strong gauge coupling 2
    • [hep-lat/0008002]
    • Lattice QCD with the overlap fermions at strong gauge coupling 2, Nucl. Phys. B 596 (2001) 231 [hep-lat/0008002].
    • (2001) Nucl. Phys. B , vol.596 , pp. 231
  • 27
    • 7744220039 scopus 로고    scopus 로고
    • Overlap-Dirac fermions with a small hopping parameter
    • [hep-lat/0007021]
    • M. Golterman and Y. Shamir, Overlap-Dirac fermions with a small hopping parameter, J. High Energy Phys. 09 (2000) 006 [hep-lat/0007021].
    • (2000) J. High Energy Phys. , vol.9 , pp. 006
    • Golterman, M.1    Shamir, Y.2
  • 28
  • 29
    • 0346072486 scopus 로고    scopus 로고
    • The index theorem in QCD with a finite cut-off
    • [hep-lat/9801021]
    • P. Hasenfratz, V. Laliena and F. Niedermayer, The index theorem in QCD with a finite cut-off, Phys. Lett. B 427 (1998) 125 [hep-lat/9801021].
    • (1998) Phys. Lett. B , vol.427 , pp. 125
    • Hasenfratz, P.1    Laliena, V.2    Niedermayer, F.3
  • 31
    • 0033545139 scopus 로고    scopus 로고
    • Topology and the axial anomaly in abelian lattice gauge theories
    • [hep-lat/9808021]
    • M. Lüscher, Topology and the axial anomaly in abelian lattice gauge theories, Nucl. Phys. B 538 (1999) 515 [hep-lat/9808021].
    • (1999) Nucl. Phys. B , vol.538 , pp. 515
    • Lüscher, M.1
  • 32
    • 0034642651 scopus 로고    scopus 로고
    • Non-commutative differential calculus and the axial anomaly in abelian lattice gauge theories
    • [hep-lat/9906015]
    • T. Fujiwara, H. Suzuki and K. Wu, Non-commutative differential calculus and the axial anomaly in abelian lattice gauge theories, Nucl. Phys. B 569 (2000) 643 [hep-lat/9906015];
    • (2000) Nucl. Phys. B , vol.569 , pp. 643
    • Fujiwara, T.1    Suzuki, H.2    Wu, K.3
  • 33
    • 10844269760 scopus 로고    scopus 로고
    • Axial anomaly in lattice abelian gauge theory in arbitrary dimensions
    • [hep-lat/9906016]
    • Axial anomaly in lattice abelian gauge theory in arbitrary dimensions, Phys. Lett. B 463 (1999) 63 [hep-lat/9906016].
    • (1999) Phys. Lett. B , vol.463 , pp. 63
  • 34
    • 0037064440 scopus 로고    scopus 로고
    • More about the axial anomaly on the lattice
    • hep-lat/0206003 to appear on
    • H. Igarashi, K. Okuyama and H. Suzuki, More about the axial anomaly on the lattice, hep-lat/0206003 to appear on Nucl. Phys. B.
    • Nucl. Phys. B.
    • Igarashi, H.1    Okuyama, K.2    Suzuki, H.3
  • 35
    • 0001059759 scopus 로고
    • Lattice fermions: Species doubling, chiral invariance and the triangle anomaly
    • L.H. Karsten and J. Smit, Lattice fermions: species doubling, chiral invariance and the triangle anomaly, Nucl. Phys. B 183 (1981) 103.
    • (1981) Nucl. Phys. B , vol.183 , pp. 103
    • Karsten, L.H.1    Smit, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.