A Generalization of Slavnov-Extended Non-Commutative Gauge Theories

TL;DR

This paper introduces a modified non-commutative U(1) gauge theory with a Slavnov term, demonstrating it is free of UV/IR mixing and extending the model to higher dimensions using a space-like axial gauge.

Contribution

It presents a novel non-commutative gauge model with a Slavnov term that avoids UV/IR mixing and generalizes the approach to higher dimensions.

Findings

Model is free of UV/IR mixing due to vector supersymmetry.

The modified Slavnov term resembles a 3D BF model.

Extensions to higher-dimensional theories are proposed.

Abstract

We consider a non-commutative U(1) gauge theory in 4 dimensions with a modified Slavnov term which looks similar to the 3-dimensional BF model. In choosing a space-like axial gauge fixing we find a new vector supersymmetry which is used to show that the model is free of UV/IR mixing problems, just as in the previously discussed model in arXiv:hep-th/0604154. Finally, we present generalizations of our proposed model to higher dimensions.