Extended BRST quantization in general coordinates

TL;DR

This paper introduces an extended BRST invariant Lagrangian quantization framework for general gauge theories, utilizing a modified triplectic algebra in arbitrary coordinates, unifying existing schemes through parameter specification.

Contribution

It presents a novel quantization scheme based on explicit realization of modified triplectic algebra in general coordinates, extending and unifying previous BRST-based methods.

Findings

Unified various BRST quantization schemes within a single framework.

Demonstrated the scheme's consistency with known methods by parameter specialization.

Provided a mathematical foundation for quantization in arbitrary coordinate systems.

Abstract

We propose an extended BRST invariant Lagrangian quantization scheme of general gauge theories based on explicit realization of "modified triplectic algebra" in general coordinates. All the known Lagrangian quantization schemes based on the extended BRST symmetry are obtained by specifying the (free) parameters of that method.