| Issue |
EPL
Volume 79, Number 6, September 2007
|
|
|---|---|---|
| Article Number | 61002 | |
| Number of page(s) | 3 | |
| Section | The Physics of Elementary Particles and Fields | |
| DOI | https://doi.org/10.1209/0295-5075/79/61002 | |
| Published online | 07 August 2007 | |
Non-commutative 
gauge theory on 
with
oscillator term and BRST symmetry
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
Corresponding authors: blaschke@hep.itp.tuwien.ac.at harald.grosse@univie.ac.at mschweda@tph.tuwien.ac.at
Received:
2
July
2007
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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