osp(1,2)-covariant Lagrangian quantization of irreducible massive gauge theories with generic background configurations

TL;DR

This paper develops an osp(1,2)-covariant quantization approach for massive gauge theories with background fields, demonstrating that background fields do not alter the ultraviolet behavior of the theory.

Contribution

It introduces a background field method within osp(1,2)-symmetric quantization for massive gauge theories, analyzing background dependence and symmetry properties.

Findings

Background fields do not affect the ultraviolet asymptotics.

Ward identities encode background-dependent gauge symmetries.

Background dependence of Green's functions is explicitly determined.

Abstract

In the framework of osp(1,2)-symmetric quantization of irreducible massive gauge theories the background field method is studied for the simplest case of a linear splitting of the gauge field into a background configuration and the quantum fluctuations. The symmetries of that approach - including three types of background-dependent gauge transformations - are expressed by Ward identities. From these identities together with the equations of motion of the auxiliary field the background dependence of the vertex functions and of the Greens functions is determined. It is proven that the introduction of a background field does not change the ultraviolet asymptotics of the theory.