Improved localization of a renormalizable non-commutative translation invariant U(1) gauge modelD. N. Blaschke, A. Rofner, M. Schweda and R. I. P. Sedmik
Institute for Theoretical Physics, Vienna University of Technology - Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria, EU
received 9 April 2009; accepted in final form 20 May 2009; published June 2009
published online 19 June 2009
Motivated by the recent work of Vilar et al. (arXiv:0902.2956) we enhance our non-commutative translation invariant gauge model (BLASCHKE D. N. et al., arXiv:0901.1681) by introducing auxiliary fields and ghosts forming a BRST doublet structure. In this way localization of the problematic term can be achieved without the necessity for any additional degrees of freedom. The resulting theory is suspected to be renormalizable. A rigorous proof, however, has not been accomplished up to now.
11.10.Nx - Noncommutative field theory.
11.15.-q - Gauge field theories.
11.10.Gh - Renormalization.
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