Field-dependent BRST transformations in Yang-Mills theory

TL;DR

This paper derives an explicit Jacobian for field-dependent BRST transformations in Yang-Mills theory, demonstrating gauge independence of the vacuum functional and providing a method to connect different gauges.

Contribution

It presents a new explicit formula for the Jacobian of field-dependent BRST transformations and shows how to connect different gauge choices in Yang-Mills theory.

Findings

The vacuum functional remains invariant under any field-dependent BRST transformation.

An explicit formula for the transformation parameter connecting two gauges.

Application to connect arbitrary R_xi gauges.

Abstract

We find an explicit form for the Jacobian of arbitrary field-dependent BRST transformations in Yang-Mills theory. For the functional-integral representation of the (gauge-fixed) Yang-Mills vacuum functional, such transformations merely amount to a precise change in the gauge-fixing functional. This proves the independence of the vacuum functional under any field-dependent BRST transformation. We also give a formula for the transformation parameter functional which generates a prescribed change of gauge and evaluate it for connecting two arbitrary R_xi gauges.