2009/12/18 by Daniel N. Blaschke, Harald Grosse, Erwin Kronberger +3
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Commutative property #Euclidean space #Gauge theory #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum #Quantum mechanics #Scalar (mathematics) #Scalar field theory #Term (time) #Theoretical physics #hep-th
paper · pdf · doi:10.1140/epjc/s10052-010-1295-5
published as Eur. Phys. J.C67:575-582,2010 · 14 pages, 4 figures
arxiv created 2009/12/18 · openalex publication_date 2010/04/07 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.