Gauge anomaly cancellation in chiral gauge theories

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• 作者：Gabriel Di Lemos Santiago Lima^a ; ^{gabriellemos3@hotmail.com} ; Rafael Chaves^b ; ^{rafael.chaves@icfo.es} ; Sebastiã ; o Alves Dias^c ; ^tiao@cbpf.br
• 关键词：Gauge field theory ; Gauge anomaly ; Nonperturbative technique
• 刊名：Annals of Physics
• 出版年：2012
• 期刊代码：63_00034916
• 类别：mt
• 出版时间：June, 2012
• 卷：327
• 期：6
• 页码：1435-1449
• 文件大小：262 K

摘要

We consider chiral fermions interacting minimally with abelian and non-abelian gauge fields. Using a path integral approach and exploring the consequences of a mechanism of symmetry restoration, we show that the gauge anomaly has null expectation value in the vacuum for both cases (abelian and non-abelian). We argue that the same mechanism has no possibility to cancel the chiral anomaly, what eliminates competition between chiral and gauge symmetry at full quantum level. We also show that the insertion of the gauge anomaly in arbitrary gauge invariant correlators gives a null result, which points towards anomaly cancellation in the subspace of physical state vectors.