Refined chiral Slavnov-Taylor identities: Renormalization and Local Physics

Abstract

We study the quantization of chiral QED by means of an extended Slavnov-Taylor (ST) identity under which an external source and the ghost field form a doublet. This ST identity incorporates the Adler-Bardeen anomaly. We prove that the cohomology classes of the extended classical linearized ST operator ${\mathcal{S}}_0^{\prime }$ are modified with respect to the ones of the classical BRST differential in the FP neutral sector (physical observables). This provides a counterexample showing that the introduction of a doublet can modify the cohomology of the model, as a consequence of the fact that the counting operator for the doublet does not commute with ${\mathcal{S}}_0^{\prime }$.

14 pages

References in corpus (1)

• On the two-loop electroweak amplitude of the muon decay

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