Axial anomaly in lattice abelian gauge theory in arbitrary dimensions

被引：33

作者：

Fujiwara, T ^{[1
]}

Suzuki, H ^{[1
]}

Wu, K ^{[1
]}

机构：

[1] Ibaraki Univ, Dept Math Sci, Mito, Ibaraki 3108512, Japan

来源：

PHYSICS LETTERS B | 1999年 / 463卷 / 01期

关键词：

lattice gauge theory; chiral anomaly; noncommutative geometry;

D O I：

10.1016/S0370-2693(99)00956-9

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The axial anomaly of lattice abelian gauge theory on a hyper-cubic regular lattice in arbitrary even dimensions is investigated by applying the method of exterior differential calculus. The topological invariance, gauge invariance and locality of the axial anomaly determine the explicit form of the topological part. The anomaly is obtained up to a multiplicative constant for finite lattice spacing and can be interpreted as the Chern character of the abelian lattice gauge theory. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

引用

页码：63 / 68

页数：6

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