D-deformed Wess-Zumino model and its renormalizability properties

TL;DR

This paper explores a new non-hermitian deformation of the superspace in the Wess-Zumino model, analyzing its impact on the model's renormalizability through divergence calculations of Green functions.

Contribution

It introduces a novel SUSY invariant deformation using covariant derivatives and assesses its renormalizability, extending previous deformation methods.

Findings

No renormalization of mass observed.

No tadpole diagrams appear.

Preliminary analysis suggests certain renormalizability properties.

Abstract

Using the methods developed in earlier papers we analyze a new type of deformation of the superspace. The twist we use to deform the N=1 SUSY Hopf algebra is non-hermitian and is given in terms of the covariant derivatives $D_\alpha$. A SUSY invariant deformation of the Wess-Zumino action is constructed and compared with results already known in the literature. Finally, by calculating divergences of the two-point Green functions a preliminary analysis of renormalizability properties of the constructed model is done. As expected, there is no renormalization of mass and no tadpole diagrams appear.