Generalized Stochastic Gauge Fixing

TL;DR

This paper introduces a generalized stochastic gauge fixing method that modifies both the drift term and the Wiener process in stochastic quantization, maintaining gauge invariance and demonstrating equivalence with path integral formalism in a specific model.

Contribution

It presents a novel generalization of stochastic gauge fixing that preserves gauge invariance and establishes nonperturbative equivalence with the path integral approach.

Findings

Gauge invariant expectation values are unchanged.

Nonperturbative proof of equivalence with path integral formalism.

Application to an abelian gauge field with matter in 0+1 dimensions.

Abstract

We propose a generalization of the stochastic gauge fixing procedure for the stochastic quantization of gauge theories where not only the drift term of the stochastic process is changed but also the Wiener process itself. All gauge invariant expectation values remain unchanged. As an explicit example we study the case of an abelian gauge field coupled with three bosonic matter fields in 0+1 dimensions. We nonperturbatively prove quivalence with the path integral formalism.