A New Approach to Non-Commutative U(N) Gauge Fields

TL;DR

This paper extends a non-commutative gauge field model from U(1) to U(N), introducing IR damping to avoid UV/IR mixing, using methods inspired by the Gribov-Zwanziger approach.

Contribution

It proposes a generalized non-commutative U(N) gauge action with IR damping, addressing UV/IR mixing issues in non-commutative gauge theories.

Findings

Successfully generalizes the U(1) model to U(N)

Introduces IR damping terms to mitigate UV/IR mixing

Adapts Gribov-Zwanziger techniques to non-commutative gauge theories

Abstract

Based on the recently introduced model of arXiv:0912.2634 for non-commutative U(1) gauge fields, a generalized version of that action for U(N) gauge fields is put forward. In this approach to non-commutative gauge field theories, UV/IR mixing effects are circumvented by introducing additional 'soft breaking' terms in the action which implement an IR damping mechanism. The techniques used are similar to those of the well-known Gribov-Zwanziger approach to QCD.