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The European Physical Journal C

, Volume 67, Issue 3–4, pp 575–582 | Cite as

Loop calculations for the non-commutative U (1) gauge field model with oscillator term

  • Daniel N. Blaschke
  • Harald Grosse
  • Erwin Kronberger
  • Manfred Schweda
  • Michael WohlgenanntEmail author
Regular Article - Theoretical Physics

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 (Blaschke et al. in Europhys. Lett. 79:61002, 2007). 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

Gauge Theory High Energy Phys Ward Identity Feynman Rule Oscillator Term 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  • Daniel N. Blaschke
    • 1
    • 2
  • Harald Grosse
    • 2
  • Erwin Kronberger
    • 1
  • Manfred Schweda
    • 1
  • Michael Wohlgenannt
    • 1
    Email author
  1. 1.Institute for Theoretical PhysicsVienna University of TechnologyViennaAustria
  2. 2.Faculty of PhysicsUniversity of ViennaViennaAustria

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