ADLER-BELL-JACKIW ANOMALY IN LATTICE GAUGE THEORY

CHEN Hao; GUO Shuo-Hong

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2024年10月30日

Chinese Physics C> 1986, Vol. 10> Issue(6) : 666-676

ADLER-BELL-JACKIW ANOMALY IN LATTICE GAUGE THEORY

CHEN Hao ^, ,
GUO Shuo-Hong

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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.

References

[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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沈阳化工大学材料科学与工程学院沈阳 110142

ADLER-BELL-JACKIW ANOMALY IN LATTICE GAUGE THEORY

CHEN Hao ^,
GUO Shuo-Hong

Corresponding author: CHEN Hao,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1986-12-05

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.