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).
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.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Identification Number :||10.1088/1126-6708/2007/08/041|
|Additional Information :||Copyright 2007 Institute of Physics. This is the author's accepted manuscript.|
|Depositing User :||Symplectic Elements|
|Date Deposited :||08 Feb 2012 13:02|
|Last Modified :||23 Sep 2013 18:57|
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