Volume 79, Number 6, September 2007
|Number of page(s)||3|
|Section||The Physics of Elementary Particles and Fields|
|Published online||07 August 2007|
Non-commutative gauge theory on with oscillator term and BRST symmetry
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
Accepted: 24 July 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 gauge theory.
PACS: 11.10.Nx – Noncommutative field theory / 11.15.-q – Gauge field theories / 11.10.Gh – Renormalization
© Europhysics Letters Association, 2007
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