First Simulation Results for the Photon in a Non-Commutative Space
Abstract
We present preliminary simulation results for QED in a non-commutative 4d space-time, which is discretized to a fuzzy lattice. Its numerical treatment becomes feasible after its mapping onto a dimensionally reduced twisted Eguchi-Kawai matrix model. In this formulation we investigate the Wilson loops and in particular the Creutz ratios. This is an ongoing project which aims at non-perturbative predictions for the photon, which can be confronted with phenomenology in order to verify the possible existence of non-commutativity in nature.
- Publication:
-
Nuclear Physics B Proceedings Supplements
- Pub Date:
- March 2005
- DOI:
- 10.1016/j.nuclphysbps.2004.11.259
- arXiv:
- arXiv:hep-lat/0409059
- Bibcode:
- 2005NuPhS.140..772B
- Keywords:
-
- High Energy Physics - Lattice;
- High Energy Physics - Theory
- E-Print:
- 3 pages, 4 figures, talk presented by J. Volkholz at Lattice2004(theory)