Local BRST cohomology and covariance

Details Local BRST cohomology and covariance Local BRST cohomology and covariance

1996-04-04

arxiv.org/abs/hep-th/9604025v2

Commun.Math.Phys. 190 (1997) 459-489

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, latex 2.09, no figures, introduction extended + minor modifications; final version, to appear in Commun. Math. Phys

Scientific paper

10.1007/s002200050248

The paper provides a framework for a systematic analysis of the local BRST cohomology in a large class of gauge theories. The approach is based on the cohomology of s+d in the jet space of fields and antifields, s and d being the BRST operator and exterior derivative respectively. It relates the BRST cohomology to an underlying gauge covariant algebra and reduces its computation to a compactly formulated problem involving only suitably defined generalized connections and tensor fields. The latter are shown to provide the building blocks of physically relevant quantities such as gauge invariant actions, Noether currents and gauge anomalies, as well as of the equations of motion.

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