Hamiltonian BFV-BRST Quantization for the Systems with Unfree Gauge Symmetry

TL;DR

This paper extends the Hamiltonian BFV-BRST quantization method to systems with unfree gauge symmetries, exemplified by a Maxwell-like tensor field theory, addressing the challenge of gauge parameter restrictions.

Contribution

It introduces a formalism for quantizing theories with differential equation-restricted gauge parameters, expanding the applicability of BFV-BRST methods.

Findings

Successfully applied to Maxwell-like tensor field theory

Provides a systematic approach for unfree gauge symmetries

Enhances understanding of gauge parameter restrictions in quantization

Abstract

The BFV-BRST Hamiltonian quantization method is presented for the theories where the gauge parameters are restricted by differential equations. The general formalism is exemplified by the Maxwell-like theory of symmetric tensor field.