Relating the generating functionals in field/antifield formulation through finite field dependent BRST transformation

TL;DR

This paper demonstrates how different solutions of the quantum master equation in Yang Mills theory are interconnected via finite field dependent BRST transformations, providing explicit examples to illustrate this relationship.

Contribution

It introduces a method to relate various generating functionals in the field/antifield formulation using finite field dependent BRST transformations, with explicit examples.

Findings

Different solutions of quantum master equation are connected through finite field dependent BRST transformations.

Explicit examples demonstrate the practical application of the theoretical connection.

The approach enhances understanding of gauge symmetry and quantization in Yang Mills theory.

Abstract

We study the field/antifield formulation of pure Yang Mills theory in the framework of finite field dependent BRST transformation. We show that the generating functionals corresponding to different solutions of quantum master equation are connected through the finite field dependent BRST transformations. We establish this result with the help of several explicit examples.