Supersymmetry Transformation of Quantum Fields

TL;DR

This paper clarifies how supersymmetry remains a symmetry at the quantum level despite gauge fixing and non-linearity, by analyzing its realization in the Wess-Zumino gauge and Slavnov-Taylor identities.

Contribution

It provides a detailed analysis of supersymmetry's realization in quantum fields, addressing non-linearity and gauge fixing effects in the Wess-Zumino gauge.

Findings

Supersymmetry can be understood as a symmetry of the quantum system despite gauge fixing.

The paper clarifies the role of Slavnov-Taylor identities in supersymmetry.

Supersymmetry transformations are shown to be consistent at the quantum level in the Wess-Zumino gauge.

Abstract

In the Wess-Zumino gauge, supersymmetry transformations become non-linear and are usually incorporated together with BRS transformations in the form of Slavnov-Taylor identities, such that they appear at first sight to be even non-local. Furthermore, the gauge fixing term breaks supersymmetry. In the present paper, we clarify in which sense supersymmetry is still a symmetry of the system and how it is realized on the level of quantum fields.