Causal Perturbation Theory for the Supersymmetric Wess-Zumino Model

TL;DR

This paper applies the Epstein-Glaser causal perturbation method to the supersymmetric Wess-Zumino model, leveraging the N=1 superspace Hilbert space structure to demonstrate causal renormalization.

Contribution

It introduces a novel application of the Epstein-Glaser method to supersymmetric quantum field theory within the N=1 superspace framework.

Findings

Successful implementation of causal perturbation theory in supersymmetric models

Clarification of the Hilbert space structure in superspace for renormalization

Potential for extending causal methods to other supersymmetric theories

Abstract

We illustrate the causal perturbation and causal renormalization method (the Epstein-Glaser method) for the case of the supersymmetric Wess-Zumino model. Our study is based on the Hilbert space structure of the N=1 superspace.