On the Irreducible BRST Quantization of Spin-5/2 Gauge Fields

TL;DR

This paper presents an irreducible BRST and BRST-anti-BRST quantization method for spin-5/2 gauge fields, transforming reducible sets into irreducible ones, ensuring physical equivalence and clarifying differences with existing literature.

Contribution

It introduces a novel irreducible quantization approach for spin-5/2 gauge fields, unifying BRST and BRST-anti-BRST formulations and clarifying their relation.

Findings

Physical observables coincide in both formulations

The gauge-fixing procedure highlights differences with previous methods

BRST and BRST-anti-BRST approaches are shown to be equivalent

Abstract

Spin-5/2 gauge fields are quantized in an irreducible way within both the BRST and BRST-anti-BRST manners. To this end, we transform the reducible generating set into an irreducible one, such that the physical observables corresponding to these two formulations coincide. The gauge-fixing procedure emphasizes on the one hand the differences among our procedure and the results obtained in the literature, and on the other hand the equivalence between our BRST and BRST-anti-BRST approaches.