One-Loop Calculations for a Translation Invariant Non-Commutative Gauge Model

TL;DR

This paper presents one-loop calculations for a novel translation invariant non-commutative gauge model that addresses UV/IR mixing issues through specific action modifications, advancing the understanding of renormalizable non-commutative gauge theories.

Contribution

It introduces a new non-commutative gauge model with added terms to mitigate UV/IR mixing, supported by one-loop analysis.

Findings

Successful one-loop calculations demonstrating UV/IR mixing suppression

Model's compatibility with renormalization requirements

Insights into the structure of non-commutative gauge theories

Abstract

In this paper we discuss one-loop results for the translation invariant non-commutative gauge field model we recently introduced in arXiv:0804.1914. This model relies on the addition of some carefully chosen extra terms in the action which mix long and short scales in order to circumvent the infamous UV/IR mixing, and were motivated by the renormalizable non-commutative scalar model of Gurau et al. (cf. arXiv:0802.0791).