Canonical transformations in gauge theories with non-trivial backgrounds

TL;DR

This paper introduces a method using canonical transformations to implement the background field approach in gauge theories, with applications to non-perturbative techniques and lattice gauge theory.

Contribution

It presents a novel way to incorporate the background field method via canonical transformations, enhancing non-perturbative analysis in gauge theories.

Findings

Canonical transformations effectively implement the background field method.

Application to non-Abelian gauge theories and lattice formulations.

Potential improvements in non-perturbative techniques.

Abstract

We show how to implement the background field method by means of canonical transformations and comment on the applications of the method to non-perturbative techniques in non-Abelian gauge theories. We discuss the case of the lattice in some details.