BRST-co-BRST Quantization of Reparametrization Invariant Theories

TL;DR

This paper explores the BRST-co-BRST quantization approach for reparametrization invariant theories, highlighting how it constrains gauge fixing and ensures well-defined inner product states, with detailed examples provided.

Contribution

It introduces a systematic application of BRST-co-BRST quantization to reparametrization invariant theories, including explicit examples demonstrating the method's effectiveness.

Findings

Restrictions on gauge fixing conditions are established.

A gauge regularisation procedure ensures well-defined inner states.

Explicit examples illustrate the quantization process.

Abstract

We study some reparametrization invariant theories in context of the BRST-co-BRST quantization method. The method imposes restrictions on the possible gauge fixing conditions and leads to well defined inner product states through a gauge regularisation procedure. Two explicit examples are also treated in detail.