Semiclassical Gauge Theories

TL;DR

This paper investigates a non-abelian gauge theory constrained by classical equations of motion, revealing it retains key quantum features like asymptotic freedom and operates at one-loop level.

Contribution

It introduces a gauge-invariant constraint derived from local gauge transformations, providing a new perspective on non-abelian gauge theories without manual constraints.

Findings

The theory operates at one-loop.

It retains asymptotic freedom.

The constraint arises naturally from gauge transformations.

Abstract

We study the properties of a non-abelian gauge theory subjected to a gauge invariant constraint given by the classical equations of motion. The constraint is not imposed by hand, but appears naturally when we study a particular type of local gauge transformations. In this way, all standard techniques to treat gauge theories are available. We will show that this theory lives at one-loop. Also this model retains some quantum characteristic of the usual non-abelian gauge theories as asymptotic freedom.