A Vector Supersymmetry Killing IR Divergences in Non-Commutative Gauge Theories

TL;DR

This paper demonstrates that a linear vector supersymmetry in a non-commutative U(1) gauge theory effectively eliminates IR divergences caused by UV/IR mixing, improving the theory's infrared behavior.

Contribution

The work reveals that vector supersymmetry is key to resolving IR divergences in non-commutative gauge theories, extending previous models to include this symmetry.

Findings

IR divergences are suppressed by vector supersymmetry

Improved IR behavior reduces UV/IR mixing issues

Supports the use of supersymmetry-inspired extensions in non-commutative gauge theories

Abstract

This is a report on the joint work with Francois Gieres, Stefan Hohenegger, Olivier Piguet and Manfred Schweda. We consider a non-commutative U(1) gauge theory with an extension which was originally proposed by A. A. Slavnov in order to get rid of UV/IR mixing problems. Here we show, that the improved IR behaviour of this model is mainly due to the appearence of a linear vector supersymmetry.