https://doi.org/10.1140/epjc/s10052-010-1295-5
Regular Article - Theoretical Physics
Loop calculations for the non-commutative U ⋆(1) gauge field model with oscillator term
1
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
* e-mail: miw@hep.itp.tuwien.ac.at
Received:
11
January
2010
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
