Topology and the axial anomaly in abelian lattice gauge theories

被引：91

作者：

Lüscher, M ^{[1
]}

机构：

[1] DESY, D-22603 Hamburg, Germany

来源：

NUCLEAR PHYSICS B | 1999年 / 538卷 / 1-2期

关键词：

elementary particle physics; lattice gauge theory; chiral symmetry; anomaly cancellation; topological charge;

D O I：

10.1016/S0550-3213(98)00680-4

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The axial anomaly in abelian lattice gauge theories is shown to be equal to a simple quadratic expression in the gauge field tensor plus a removable divergence term if the lattice Dirac operator satisfies the Ginsparg-Wilson relation. The theorem is a consequence of the locality, the gauge invariance and the topological nature of the anomaly and does not refer to any other properties of the lattice theory, (C) 1999 Elsevier Science B.V.

引用

页码：515 / 529

页数：15

共 22 条

[1]

Bertlmann R., 1996, ANOMALIES QUANTUM FI

[2] Lattice formulation of chiral gauge theories [J].