OSp(1,2)-covariant Lagrangian quantization of irreducible massive gauge theories

TL;DR

This paper develops an osp(1,2)-covariant Lagrangian quantization framework for gauge theories, including massive fields, extending previous Sp(2)-covariant methods and ensuring symplectic invariance, with applications to theories with closed algebra.

Contribution

It introduces a generalized formalism for covariant quantization of massive gauge theories that maintains symplectic invariance and extends existing approaches.

Findings

Dependence on gauge choice vanishes as mass approaches zero.

Derived Ward identities for osp(1,2) symmetry.

Applied formalism to massive gauge theories with closed algebra.

Abstract

The osp(1,2)-covariant Lagrangian quantization of general gauge theories is formulated which applies also to massive fields. The formalism generalizes the Sp(2)-covariant BLT approach and guarantees symplectic invariance of the quantized action. The dependence of the generating functional of Green's functions on the choice of gauge in the massive case disappears in the limit m = 0. Ward identities related to osp(1,2) symmetry are derived. Massive gauge theories with closed algebra are studied as an example.