Equivalence between two different field-dependent BRST formulations

TL;DR

This paper demonstrates the conceptual equivalence between two different formulations of finite field-dependent BRST transformations, showing that they produce identical results and thus are interchangeable in theoretical physics applications.

Contribution

The work establishes the equivalence between two formulations of BRST transformations, clarifying their relationship and unifying their conceptual framework.

Findings

Both formulations yield identical results.

The equivalence is demonstrated through explicit calculations.

The study clarifies the conceptual relationship between the formulations.

Abstract

Finite field-dependent BRST (FFBRST) transformations were constructed by integrating infinitesimal BRST transformation in a closed form. Such a generalized transformations have been extended in various branch of physics and found many applications. Recently BRST transformation has also been generalized with same goal and motivation in slightly different manner. In this work we have shown that the later formulation is conceptually equivalent to the earlier formulation. We justify our claim by producing the same result of later formulation using earlier FFBRST formulation.