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arXiv · hep-th/9910201

Cohomological analysis of gauged-fixed gauge theories

Glenn Barnich·Marc Henneaux·Tobias Hurth·Kostas Skenderis
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Abstract

The relation between the gauge-invariant local BRST cohomology involving the antifields and the gauge-fixed BRST cohomology is clarified. It is shown in particular that the cocycle conditions become equivalent once it is imposed, on the gauge-fixed side, that the BRST cocycles should yield deformations that preserve the nilpotency of the (gauge-fixed) BRST differential. This shows that the restrictions imposed on local counterterms by the Quantum Noether condition in the Epstein--Glaser construction of gauge theories are equivalent to the restrictions imposed by BRST invariance on local counterterms in the standard Lagrangian approach.

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Glenn Barnich, Marc Henneaux, Tobias Hurth, Kostas Skenderis. 1999-10-26. Cohomological analysis of gauged-fixed gauge theories. https://doi.org/10.1016/s0370-2693(00)01087-x

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