From on-shell to off-shell open gauge theories

TL;DR

This paper introduces a novel quantization method for open gauge theories that constructs an off-shell BRST algebra and invariant action by modifying classical operators and systematically adding auxiliary fields.

Contribution

It provides a new approach to off-shell quantization of open gauge theories through a systematic prescription involving auxiliary fields and modified BRST operators.

Findings

Constructed off-shell BRST algebra.

Developed invariant off-shell action.

Provided a systematic auxiliary field introduction method.

Abstract

We present an alternative quantization for irreducible open gauge theories. The method relies on the possibility of modifying the classical BRST operator and the gauge-fixing action written as in Yang-Mills type theories, in order to obtain an on-shell invariant quantum action by using equations characterizing the full gauge algebra. From this follows then the construction of an off-shell version of the theory. We show how it is possible to build off-shell BRST algebra together with an invariant extension of the classical action. This is realized via a systematic prescription for the introduction of auxiliary fields.