Irreducible Hamiltonian BRST analysis of Stueckelberg coupled p-form gauge theories

TL;DR

This paper develops an irreducible Hamiltonian BRST framework for p-form gauge theories with Stueckelberg coupling, simplifying quantization while preserving Lorentz covariance.

Contribution

It constructs an irreducible BRST formalism equivalent to the original reducible system, enabling easier quantization of Stueckelberg coupled p-form gauge theories.

Findings

Derived the irreducible Hamiltonian BRST symmetry for the theories.

Established equivalence between reducible and irreducible BRST formalisms.

Maintained Lorentz covariance in the irreducible path integral.

Abstract

The irreducible Hamiltonian BRST symmetry for p-form gauge theories with Stueckelberg coupling is derived. The cornerstone of our approach is represented by the construction of an irreducible theory that is equivalent from the point of view of the BRST formalism with the original system. The equivalence makes permissible the substitution of the BRST quantization of the reducible model by that of the irreducible theory. Our procedure maintains the Lorentz covariance of the irreducible path integral.