Improved Collective Field Formalism for an Antifield Scheme for Extended BRST Symmetry

TL;DR

This paper introduces a new collective field formalism with two fields for extended BRST invariant quantisation, providing a direct proof of the Batalin-Lavrov-Tyutin scheme and emphasizing its role in quantising open algebras.

Contribution

It develops a novel collective field approach with two fields, offering a direct physical proof of the extended BRST antifield formalism.

Findings

New collective field formalism with two fields

Direct proof of Batalin-Lavrov-Tyutin scheme

Enhanced understanding of quantising open algebras

Abstract

We present a new collective field formalism with two rather than one collective field to derive the antifield formalism for extended BRST invariant quantisation. This gives a direct and physical proof of the scheme of Batalin, Lavrov and Tyutin, derived on algebraic grounds. The importance of the collective field in the quantisation of open algebras in both the BRST and extended BRST invariant way is stressed.