Supersymmetry Transformation of Quantum Fields II: Supersymmetric Yang-Mills Theory

TL;DR

This paper analyzes the transformation laws of quantum fields in super Yang-Mills theory within the Wess-Zumino gauge, revealing how supersymmetry breaking manifests and ensuring local transformations under certain conditions.

Contribution

It derives the local transformation laws from generalized Slavnov-Taylor identities and clarifies the nature of supersymmetry breaking in the quantum field framework.

Findings

Transformations are local under normalization conditions.

Anomalous dimensions of vector multiplet become equal.

Supersymmetry breaking appears in Fock space, not in the transformation law.

Abstract

We study the transformation law of quantum fields in super Yang-Mills theory quantized in the Wess-Zumino gauge. It can be derived from a local version of generalized Slavnov-Taylor identities for general Green functions. Under suitable normalization conditions the transformations are local. Within the vector multiplet anomalous dimensions become equal. The breaking of susy shows up in Fock but not in Hilbert space and is not reflected in the transformation law for the fields.