Non-renormalization for planar Wess-Zumino model

TL;DR

This paper demonstrates that the interaction in a 2+1 dimensional N=1 Wess-Zumino model remains unrenormalized when analyzed through a non-perturbative functional approach, addressing the absence of non-renormalization theorems.

Contribution

It introduces a non-perturbative functional method to establish non-renormalization in the Wess-Zumino model, compensating for the lack of existing theorems.

Findings

Interaction does not get renormalized in the model

Valid within the gradient expansion framework

Addresses non-renormalization theorem gaps

Abstract

Using a non-perturbative functional method, where the quantum fluctuations are gradually set up,it is shown that the interaction of a N=1 Wess-Zumino model in 2+1 dimensions does not get renormalized. This result is valid in the framework of the gradient expansion and aims at compensating the lack of non-renormalization theorems.