Osp(1,2)-covariant Lagrangian quantization of reducible massive gauge theories

TL;DR

This paper extends osp(1,2)-covariant Lagrangian quantization to reducible massive gauge theories, analyzing gauge dependence, Ward identities, and applying the framework to models like Chapline-Manton and topological Yang-Mills.

Contribution

It generalizes the osp(1,2)-covariant quantization method to L-stage reducible theories, including massive cases, and explores gauge dependence and specific model applications.

Findings

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

Analyzed gauge dependence of Green's functions in massive gauge theories.

Extended models like Chapline-Manton and topological Yang-Mills to massive cases.

Abstract

The osp(1,2)-covariant Lagrangian quantization of irreducible gauge theories [hep-th/9712204] is generalized to L-stage reducible theories. The dependence of the generating functional of Green's functions on the choice of gauge in the massive case is dicussed and Ward identities related to osp(1,2) symmetry are given. Massive first stage theories with closed gauge algebra are studied in detail. The generalization of the Chapline-Manton model and topological Yang-Mills theory to the case of massive fields is consedered as examples.