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Area-preserving diffeomorphisms in gauge theory on a non-commutative plane: A lattice study

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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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
Depositing User: Symplectic Elements
Date Deposited: 08 Feb 2012 13:02
Last Modified: 23 Sep 2013 18:57
URI: http://epubs.surrey.ac.uk/id/eprint/72379

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