(Non)renormalizability of the D-deformed Wess-Zumino model

TL;DR

This paper investigates the renormalizability of a D-deformed Wess-Zumino model, finding it non-renormalizable due to unabsorbable divergences at the four-point function level, and discusses potential ways to improve it.

Contribution

It provides a detailed one-loop divergence analysis of the D-deformed Wess-Zumino model and demonstrates its non-renormalizability, suggesting directions for future modifications.

Findings

Four-point divergences cannot be absorbed

Model is not renormalizable at one-loop level

Discussion of potential renormalization improvements

Abstract

We continue the analysis of the $D$-deformed Wess-Zumino model which was started in the previous paper. The model is defined by a deformation which is non-hermitian and given in terms of the covariant derivatives $D_\alpha$. We calculate one-loop divergences in the two-point, three-point and four-point Green functions. We find that the divergences in the four-point function cannot be absorbed and thus our model is not renormalizable. We discuss possibilities to render the model renormalizable.