ADLER-BELL-JACKIW ANOMALY IN LATTICE GAUGE THEORY

  • The axial anomaly in lattice gauge theory with Wilson fermion is discussed. Under weak coupling approximation, we calculate the anomaly term systematically by path integral method. The result agrees with that obtained in continuum theory.
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  • [1] K. G. Wilson, Phys. Rev., D10(1974), 2445, in New Phenomena in Subnuclear Physics, ed. A. Zichichi(Erice 1975), New York, Plemun Press, 1977.[2] L. H. Kasten, J. Smit, Nucl. Phys., B183(1981), 103.[3] W. Kerler. Phys. Rev., D23(1981), 2384.[4] E. Seiler, I. 0. Stamatescu, Phys. Rev., D25(1982), 2177.[5] H. Kawai, R. Nakayama, K. Seo, Nucl. Phys., B189(1981), 40.[6] J. Ambjorn, J. Greensite, C. Perterron, Nucl. Phys., B221(1983), 381.[7] H. S. Sharatchandra, H. J. Thun, P. Weise, Nucl. Phys., B192(1981), 205.[8] M. Weinstein, Phys. Rev., D26(1982), 839.[9] N. Kawamoto, K. Shigemoto, Phys. Lerr., B120(1983), 183.[10] S. L. Adler, Phys. Rev., 177(1969), 2426. K. Jackiw, in Lecture on Current Algebra and its Application(Princeton University, Press 1972) p. 97.[11] H. S. Sharatchandra, Phys. Rev., D18(1978), 2042.
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CHEN Hao and GUO Shuo-Hong. ADLER-BELL-JACKIW ANOMALY IN LATTICE GAUGE THEORY[J]. Chinese Physics C, 1986, 10(6): 666-676.
CHEN Hao and GUO Shuo-Hong. ADLER-BELL-JACKIW ANOMALY IN LATTICE GAUGE THEORY[J]. Chinese Physics C, 1986, 10(6): 666-676. shu
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Received: 1900-01-01
Revised: 1900-01-01
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ADLER-BELL-JACKIW ANOMALY IN LATTICE GAUGE THEORY

    Corresponding author: CHEN Hao,

Abstract: The axial anomaly in lattice gauge theory with Wilson fermion is discussed. Under weak coupling approximation, we calculate the anomaly term systematically by path integral method. The result agrees with that obtained in continuum theory.

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