Schwinger--Dyson BRST symmetry and the Batalin--Vilkovisky Lagrangian Quantisation of Gauge Theories with Open or Reducible Gauge Algebras

TL;DR

This paper extends the understanding of antifields in the quantization of gauge theories to cases with open or reducible gauge algebras, enhancing the theoretical framework for such complex systems.

Contribution

It generalizes the Schwinger--Dyson BRST symmetry and Batalin--Vilkovisky quantization to more complex gauge algebras, broadening their applicability.

Findings

Extended antifield origin to open/reducible gauge algebras

Enhanced Batalin--Vilkovisky formalism for complex gauge structures

Provided theoretical foundation for quantizing complex gauge theories

Abstract

In this short note we extend the results of Alfaro and Damgaard on the origin of antifields to theories with a gauge algebra that is open or reducible.