Renormalizability of N=1/2 Wess-Zumino model in superspace

TL;DR

This paper demonstrates that the N=1/2 Wess-Zumino model becomes renormalizable to all orders in perturbation theory when F and F^2 terms are added, using a superspace approach and spurion fields.

Contribution

It introduces a superspace formulation and a spurion field method to prove the all-order renormalizability of the modified N=1/2 Wess-Zumino model.

Findings

Adding F and F^2 terms ensures renormalizability.

Superspace reformulation simplifies the proof.

The model remains renormalizable to all perturbative orders.

Abstract

In this letter we use the spurion field approach adopted in hep-th/0307099 in order to show that by adding F and F^2 terms to the original lagrangian, the N=1/2 Wess-Zumino model is renormalizable to all orders in perturbation theory. We reformulate in superspace language the proof given in the recent work hep-th/0307165 in terms of component fields.