# Background field method and nonlinear gauges

## TL;DR

This paper introduces a reformulation of the background field method for Yang-Mills theories using a superalgebra framework, allowing consistent implementation of nonlinear gauges through invariance principles.

## Contribution

It presents a novel superalgebra-based reformulation that facilitates the use of nonlinear gauges in background field methods for Yang-Mills theories.

## Key findings

- Enables consistent use of nonlinear gauges in background field method.
- Provides a superalgebra framework for BRST and background transformations.
- Ensures invariance of gauge-fixing functional under background transformations.

## Abstract

We present a reformulation of the background field method for Yang-Mills type theories, based on using a superalgebra of generators of BRST and background field transformations. The new approach enables one to implement and consistently use non-linear gauges in a natural way, by using the requirement of invariance of the fermion gauge-fixing functional under the background field transformations.