Global anomalies in chiral gauge theories on the lattice

被引：25
|
作者：
Bär, O [1 ]
Campos, I [1 ]
机构：
[1] Deutsch Elekt Synchrotron, D-22603 Hamburg, Germany
来源：
NUCLEAR PHYSICS B | 2000年 / 581卷 / 1-2期
关键词：
lattice gauge theory; chiral gauge theories; anomalies in quantum field theory;
D O I：
10.1016/S0550-3213(00)00182-6
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：
We discuss the issue of global anomalies in chiral gauge theories on the lattice. In Luscher's approach, these obstructions make it impossible to define consistently a fermionic measure for the path integral. We show that an SU(2) theory has such a global anomaly if the Weyl fermion is in the fundamental representation. The anomaly in higher representations is also discussed. We finally show that this obstruction is the lattice analogue of the SU(2) anomaly first discovered by Witten. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：499 / 519
页数：21
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