Gauge anomaly cancellation in chiral gauge theories |
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Authors: | Gabriel Di Lemos Santiago Lima Rafael Chaves Sebastião Alves Dias |
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Institution: | 1. Departamento de Física, Pontifícia Universidade Católica do Rio de Janeiro, Rua Marquês de São Vicente 225, Rio de Janeiro, RJ, 22451-900, Brazil;2. Institut de Ciències Fotòniques, Av. Carl Friedrich Gauss 3, Castelldefels, Barcelona, 08860, Spain;3. Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Rio de Janeiro, RJ, 22290-180, Brazil |
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Abstract: | 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. |
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