Area-preserving diffeomorphisms in gauge theory on a non-commutative plane: A lattice study
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Bietenholz, W, Bigarini, A and Torrielli, A (2007) Area-preserving diffeomorphisms in gauge theory on a non-commutative plane: A lattice study Journal of High Energy Physics, 2007 (8). 041 - ?. ISSN 1126-6708
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Official URL: http://dx.doi.org/10.1088/1126-6708/2007/08/041
Abstract
We consider Yang-Mills theory with the U(1) gauge group on a non-commutative plane. Perturbatively it was observed that the invariance of this theory under area-preserving diffeomorphisms (APDs) breaks down to a rigid subgroup SL(2,R). Here we present explicit results for the APD symmetry breaking at finite gauge coupling and finite non-commutativity. They are based on lattice simulations and measurements of Wilson loops with the same area but with a variety of different shapes. Our results are consistent with the expected loss of invariance under APDs. Moreover, they strongly suggest that non-perturbatively the SL(2,R) symmetry does not persist either.
| Item Type: | Article |
|---|---|
| Additional Information: | Copyright 2007 Institute of Physics. This is the author's accepted manuscript. |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| ID Code: | 72379 |
| Deposited By: | Symplectic Elements |
| Deposited On: | 08 Feb 2012 13:02 |
| Last Modified: | 18 Feb 2013 14:33 |
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