BRST Exact Action For N=1, D=4, Supersymmetric Yang-Mills Theory

TL;DR

This paper proves that the action for N=1, D=4 supersymmetric Yang-Mills theory can be expressed as a BRST exact term by extending the field space to include an auxiliary field, simplifying its quantization.

Contribution

It demonstrates that the classical and quantum actions of N=1, D=4 supersymmetric Yang-Mills theories are BRST exact, introducing an auxiliary field to facilitate this formulation.

Findings

Action is BRST exact when the field space is extended

Auxiliary field is non-dynamical and essential for the proof

Simplifies the quantization process of the theory

Abstract

The action for classical and consequently quantum N=1, D=4, supersymmetric Yang-Mills theories is proven to be written as a BRST exact term. In order to show this, the space of fields in the theory must be enlarged to include an extrafield as a non dynamical auxiliary field.