Shadow Fields and Local Supersymmetric Gauges

TL;DR

This paper introduces shadow fields in super-Yang-Mills theories to enhance gauge invariance control, facilitate anomaly analysis, and enable regularization-independent renormalization.

Contribution

It proposes a novel set of shadow fields and Slavnov-Taylor identities to improve supersymmetric gauge theories' consistency and renormalization procedures.

Findings

Shadow fields enable regularization-independent renormalization.

New identities help analyze supersymmetric anomalies.

Framework extends Faddeev-Popov method for supersymmetry.

Abstract

To control supersymmetry and gauge invariance in super-Yang-Mills theories we introduce new fields, called shadow fields, which enable us to enlarge the conventional Faddeev-Popov framework and write down a set of useful Slavnov-Taylor identities. These identities allow us to address and answer the issue of the supersymmetric Yang-Mills anomalies, and to perform the conventional renormalization programme in a fully regularization-independent way.