Supercurrent and Local Coupling in the Wess-Zumino Model

TL;DR

This paper investigates the renormalization and superconformal symmetries of the Wess-Zumino model extended with a chiral superfield coupling, introducing external fields to derive key equations and explore operator insertions.

Contribution

It develops a framework for analyzing the Wess-Zumino model with extended couplings, deriving a Callan-Symanzik equation and constructing the supercurrent with external fields.

Findings

Proves the renormalizability of the extended model.

Derives the Callan-Symanzik equation for the model.

Establishes relations to curved superspace treatments.

Abstract

We study the Wess-Zumino model with the coupling extended to a chiral superfield. In order to incorporate the renormalization effects a further external real field has to be introduced. It is then possible to derive a Callan-Symanzik equation and to prove renormalizability. By constructing the supercurrent in this context the whole machinery for describing the superconformal symmetries becomes available. The presence of the external fields allows also to define multiple insertions of all relevant composite operators. Interesting relations to the curved superspace treatment show up.