Structure of BRS-Invariant Local Functionals

Details Structure of BRS-Invariant Local Functionals Structure of BRS-Invariant Local Functionals

1993-10-19

arxiv.org/abs/hep-th/9310123v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Latex, NIKHEF-H 93-21

Scientific paper

For a large class of gauge theories a nilpotent BRS-operator $s$ is constructed and its cohomology in the space of local functionals of the off-shell fields is shown to be isomorphic to the cohomology of $\4s=s+d$ on functions $f(\4C,\PH)$ of tensor fields $\PH$ and of variables $\4C$ which are constructed of the ghosts and the connection forms. The result allows general statements about the structure of invariant classical actions and anomaly candidates whose BRS-variation vanishes off-shell. The assumptions under which the result holds are thoroughly discussed.

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