Cohomological analysis of gauged-fixed gauge theories

Details Cohomological analysis of gauged-fixed gauge theories Cohomological analysis of gauged-fixed gauge theories

1999-10-26

arxiv.org/abs/hep-th/9910201v1

Phys.Lett. B492 (2000) 376-384

Physics

High Energy Physics

High Energy Physics - Theory

14 pages Latex file

Scientific paper

10.1016/S0370-2693(00)01087-X

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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