6533b86ffe1ef96bd12cdccb

RESEARCH PRODUCT

Cohomological analysis of gauged-fixed gauge theories

Glenn BarnichKostas SkenderisTobias HurthMarc Henneaux

subject

High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyFOS: Physical sciencesCohomologyBRST quantizationHigh Energy Physics - Phenomenologysymbols.namesakeHigh Energy Physics::TheoryHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)symbolsGauge theoryNoether's theoremQuantumDifferential (mathematics)LagrangianParticle Physics - TheoryMathematical physics

description

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.

https://dx.doi.org/10.48550/arxiv.hep-th/9910201