文档介绍：arXiv:hep-th/9411228v2 7 Dec 1994
Abstract
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hep-th/9411228
eebr1994 December
THU-94/18
1. Introduction.
Conservation of chiral symmetries in lattice gauge theories is often considered to be
an important problem. One would like to study for instance the spontaneous breakdown
of chiral SU(2) × SU(2) in QCD but this study plicated by the fact that in the
Wilson action [1] such symmetries are also explicitly broken [2]. Remedies of this problem
were often sought in alternative versions of this action[3], but then it was found that either
other subgroups of SU(2)×SU(2) were sacrificed or else extra fermionic degrees of freedom
emerged as unwanted modes of the fermionic action.
The origin of this difficulty was not difficult to identify. Chiral symmetries are offset
by anomalies so that the actual symmetries of the system are smaller