A linear realization of the BRST symmetry

TL;DR

This paper introduces a model equivalent to Yang-Mills theory at large distances, where all symmetries, including BRST, are realized linearly through a unified vector field in curved superspace, simplifying symmetry interpretation.

Contribution

The paper presents a novel linear realization of BRST symmetry within a model that reproduces Yang-Mills theory at long distances, using a unified vector field in curved superspace.

Findings

Model is equivalent to Yang-Mills at low energies

All symmetries are linearly realized as superspace isometries

Massive modes decouple at small momenta

Abstract

In this Letter, we propose a model which is equivalent to the Yang-Mills theory at long distances but for which all symmetries are realized linearly. On top of the gauge and Fadeev-Popov ghosts fields, the model presents several massive fields, all of which can be merged in a unique vector field with support in a curved superspace. The equivalence of this model with the gauge-fixed Yang-Mills theory is shown to result from the decoupling of these extra massive modes at small momenta. Most of the symmetries of Yang-Mills theory, including the famous BRST symmetry, can be interpreted in this way as isometries of the superspace.