English

Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term

High Energy Physics - Theory 2014-11-20 v1

Abstract

Motivated by the success of the non-commutative scalar Grosse-Wulkenhaar model, a non-commutative U(1) gauge field theory including an oscillator-like term in the action has been put forward in arXiv:0705.4205. The aim of the current work is to analyze whether that action can lead to a fully renormalizable gauge model on non-commutative Euclidean space. In a first step, explicit one-loop graph computations are hence presented, and their results as well as necessary modifications of the action are successively discussed.

Keywords

Cite

@article{arxiv.0912.3642,
  title  = {Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term},
  author = {Daniel N. Blaschke and Harald Grosse and Erwin Kronberger and Manfred Schweda and Michael Wohlgenannt},
  journal= {arXiv preprint arXiv:0912.3642},
  year   = {2014}
}

Comments

14 pages, 4 figures

R2 v1 2026-06-21T14:25:38.056Z