Superfield Effective Action in the Noncommutative Wess-Zumino Model

TL;DR

This paper develops the superfield effective action framework for noncommutative supersymmetric theories, analyzing one- and two-loop contributions in the Wess-Zumino model, revealing how noncommutativity influences the effective potential.

Contribution

It introduces the superfield effective action concept in noncommutative supersymmetric theories and computes low-energy contributions, highlighting the effects of noncommutativity on the effective potential.

Findings

One-loop Kahlerian effective potential matches the commutative case.

Two-loop nonplanar contributions dominate at small noncommutativity.

Large noncommutativity alters the behavior of chiral corrections.

Abstract

We introduce the concept of superfield effective action in noncommutative N=1 supersymmetric field theories containing chiral superfields. One and two loops low-energy contributions to the effective action are found for the noncommutative Wess-Zumino model. The one loop Kahlerian effective potential coincides with its commutative counterpart. We show that the two loops nonplanar contributions to the Kahlerian effective potential are leading in the case of small noncommutativity. The structure of the leading chiral corrections to the effective action and the behaviour of the chiral effective potential in the limit of large noncommutativity are also investigated.