Volume 86, Number 5, June 2009
Article Number 51002
Number of page(s) 6
Section The Physics of Elementary Particles and Fields
Published online 19 June 2009
EPL, 86 (2009) 51002
DOI: 10.1209/0295-5075/86/51002

Improved localization of a renormalizable non-commutative translation invariant U(1) gauge model

D. 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 $\frac{1}{{D^2}} $ 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.

© EPLA 2009