Off-shell nilpotent finite BRST/anti-BRST transformations

TL;DR

This paper introduces off-shell nilpotent finite field dependent BRST and anti-BRST transformations, showing how they connect different effective theories and analyzing their impact on the path integral measure.

Contribution

It develops the formalism of off-shell nilpotent finite field dependent BRST and anti-BRST transformations and demonstrates their role in relating different effective theories.

Findings

Finite field dependent BRST transformations connect different generating functionals.

Finite anti-BRST transformations also relate various effective theories.

Non-trivial Jacobians from transformations lead to new theoretical insights.

Abstract

We develop the off-shell nilpotent finite field dependent BRST transformations and show that for different choices of the finite field dependent parameter these connect the generating functionals corresponding to different effective theories. We also construct both on-shell and off-shell finite field dependent anti-BRST tranformations for Yang Mills theories and show that these transformations play the similar role in connecting different generating functionals of different effective theories. Analogous to the finite field dependent BRST transformations, the non-trivial Jacobians of the path integral measure which arise due to the finite field dependent anti-BRST transformations are responsible for the new results. We consider several explicit examples in each case to demonstrate the results.