Regular Article - Theoretical Physics
Loop calculations for the non-commutative U ⋆(1) gauge field model with oscillator term
Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8-10, 1040, Vienna, Austria
2 Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090, Vienna, Austria
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Published online: 8 April 2010
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.
© Springer-Verlag / Società Italiana di Fisica, 2010