TL;DR
This paper establishes conditions for the BFV gauge-fixing fermion to ensure correct path integral quantization of constrained systems, including those with Gribov ambiguities, by regularizing non-physical states.
Contribution
It provides nonsingularity conditions for the BFV gauge-fixing fermion that guarantee proper path integral formulation in constrained quantization.
Findings
Conditions ensure correct path integral for constrained systems.
Regularizes trace over non-physical states in ghost sectors.
Applied to systems with Gribov problems using non-standard gauge fixing.
Abstract
Nonsingularity conditions are established for the BFV gauge-fixing fermion which are sufficient for it to lead to the correct path integral for a theory with constraints canonically quantized in the BFV approach. The conditions ensure that anticommutator of this fermion with the BRST charge regularises the path integral by regularising the trace over non-physical states in each ghost sector. The results are applied to the quantization of a system which has a Gribov problem, using a non-standard form of the gauge-fixing fermion.
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