General quantum antibrackets

TL;DR

This paper generalizes the quantum antibracket concept to arbitrary odd operators, providing formulas and identities, and reviews applications in BV- and BFV-BRST quantization with new insights.

Contribution

It introduces a broader framework for quantum antibrackets, including exact formulas and identities, enhancing their application in quantization methods.

Findings

Derived exact formulas for higher quantum antibrackets

Established generalized Jacobi identities for these brackets

Reviewed applications in BV- and BFV-BRST quantization with new aspects

Abstract

The recently introduced quantum antibracket is further generalized allowing for the defining odd operator Q to be arbitrary. We give exact formulas for higher quantum antibrackets of arbitrary orders and their generalized Jacobi identities. Their applications to BV-quantization and BFV-BRST quantization are then reviewed including some new aspects.