An elementary proof of the non-renormalization theorem for the Wess-Zumino model

TL;DR

This paper provides an elementary proof of the non-renormalization theorem for the Wess-Zumino model using the exact renormalization group, avoiding superfield techniques and making the proof accessible.

Contribution

It introduces an elementary, self-contained proof of the non-renormalization theorem employing ERG and auxiliary fields, without relying on superfield methods.

Findings

Proof of non-renormalization theorem using ERG

Avoidance of superfield techniques

Self-contained presentation with background on Wilson action

Abstract

Using the exact renormalization group (ERG) differential equation, we give an elementary proof of the non-renormalization theorem for the Wess-Zumino model. We introduce auxiliary fields to linearize the supersymmetry transformation, but we do not rely on the superfield techniques. We give sufficient background material on the Wilson action and the ERG formalism to make the paper self-contained.