Another Perturbative Expansion in Nonabelian Gauge Theory

TL;DR

This paper introduces a novel perturbation scheme for nonabelian gauge theories, exemplified by three-dimensional Yang-Mills, where the zeroth-order is a BF theory coupled with a St{" u}ckelberg field, potentially simplifying nonperturbative analysis.

Contribution

It proposes a new perturbative approach in nonabelian gauge theories using BF theory as the zeroth-order approximation, offering a new perspective on nonperturbative regimes.

Findings

Effective coupling can be small in the infrared regime.

Nonperturbative Yang-Mills may be approximated by BF theory.

New perturbation scheme simplifies complex gauge theories.

Abstract

We consider a new perturbation scheme in nonabelian gauge theory. Pure Yang-Mills theory in three dimensions is taken as a concrete example. The zeroth-order in the perturbative expansion is given by BF theory coupled to a St{\" u}ckelberg-like field. The effective coupling for the expansion can be small in the infrared regime, which implies that nonperturbative treatment of Yang-Mills theory may be partially reduced to that of BF theory.