Non-commutative U(1) gauge theory on with oscillator term and BRST symmetryD. N. Blaschke1, H. Grosse2 and M. Schweda1
1 Institute for Theoretical Physics, Vienna University of Technology - Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria
2 Faculty of Physics, University of Vienna - Boltzmanngasse 5, A-1090 Vienna, Austria
received 2 July 2007; accepted in final form 24 July 2007; published September 2007
published online 7 August 2007
Inspired by the renormalizability of the non-commutative model with added oscillator term, we formulate a non-commutative gauge theory, where the oscillator enters as a gauge fixing term in a BRST invariant manner. All propagators turn out to be essentially given by the Mehler kernel and the bilinear part of the action is invariant under the Langmann-Szabo duality. The model is a promising candidate for a renormalizable non-commutative U(1) gauge theory.
11.10.Nx - Noncommutative field theory.
11.15.-q - Gauge field theories.
11.10.Gh - Renormalization.
© Europhysics Letters Association 2007