The Superfield Formalism Applied to the Noncommutative Wess-Zumino Model

TL;DR

This paper applies the superfield formalism to the noncommutative Wess-Zumino model, confirming its all-order renormalizability using superoperators on noncommutative space.

Contribution

It introduces superoperators on noncommutative R^4 and demonstrates the renormalizability of the noncommutative Wess-Zumino model within this framework.

Findings

Confirmed the model's renormalizability to all orders.

Utilized superfield formalism for noncommutative quantum field theories.

Provided an efficient method for analyzing noncommutative supersymmetric models.

Abstract

We introduce the notion of superoperators on noncommutative R^4 and re-investigate in the framework of superfields the noncommutative Wess-Zumino model as a quantum field theory. In a highly efficient manner we are able to confirm the result that this model is renormalizable to all orders.