Refined chiral Slavnov-Taylor identities: Renormalization and Local Physics

Details Refined chiral Slavnov-Taylor identities: Renormalization and Local Physics Refined chiral Slavnov-Taylor identities: Renormalization and Local Physics

2001-01-25

arxiv.org/abs/hep-th/0101167v1

Int.J.Theor.Phys. 41 (2002) 393-408

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1023/A:1014289003308

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 ${\cal S}'_0$ 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 ${\cal S}'_0$.

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