Renormalisation of supersymmetric gauge theory in the uneliminated component formalism

TL;DR

This paper investigates the renormalisation process of N=1 supersymmetric gauge theories within the component formalism, revealing the necessity of non-linear renormalisation of auxiliary fields when auxiliary fields are not eliminated.

Contribution

It demonstrates that non-linear renormalisation of auxiliary fields is essential in the uneliminated component formalism for supersymmetric gauge theories.

Findings

Non-linear renormalisation of auxiliary fields is required.

Standard covariant gauge is used in the analysis.

Renormalisation differs from traditional approaches.

Abstract

We show that the renormalisation of the N=1 supersymmetric gauge theory when working in the component formalism, without eliminating auxiliary fields and using a standard covariant gauge, requires a non-linear renormalisation of the auxiliary fields.