The Feynman Rules and Axial Vector Current Anomaly on the Normal Fuzzy Lattice

Dong Shaojing

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(S1) : 23-32

The Feynman Rules and Axial Vector Current Anomaly on the Normal Fuzzy Lattice

Dong Shaojing

Department of Physics, Zhejiang University, Hangzhou

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Abstract：
In the normal fuzzy lattice scheme, the periodicity breaking in the momentum space, thus the avoidance of the unnecessary fermion modes are shown via a self-consistent Fourier transformation. Moreover, the Feynman rule in the weak coupling limit is discussed, the axial vector current anomaly in one-loop perturbation is calculated, and a regular Adler-Bell-Jackiw chiral anomaly is obtained.

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Dong Shaojing. The Feynman Rules and Axial Vector Current Anomaly on the Normal Fuzzy Lattice[J]. Chinese Physics C, 1989, 13(S1): 23-32.

Dong Shaojing. The Feynman Rules and Axial Vector Current Anomaly on the Normal Fuzzy Lattice[J]. Chinese Physics C, 1989, 13(S1): 23-32. shu

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Received: 1988-05-04

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Supported by the National natural Science Foundation of China.

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沈阳化工大学材料科学与工程学院沈阳 110142

The Feynman Rules and Axial Vector Current Anomaly on the Normal Fuzzy Lattice

Dong Shaojing

Department of Physics, Zhejiang University, Hangzhou

Received Date: 1988-05-04

Fund Project: Supported by the National natural Science Foundation of China.

Abstract: In the normal fuzzy lattice scheme, the periodicity breaking in the momentum space, thus the avoidance of the unnecessary fermion modes are shown via a self-consistent Fourier transformation. Moreover, the Feynman rule in the weak coupling limit is discussed, the axial vector current anomaly in one-loop perturbation is calculated, and a regular Adler-Bell-Jackiw chiral anomaly is obtained.