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arXiv · hep-lat/0409059

First Simulation Results for the Photon in a Non-Commutative Space

W. Bietenholz·F. Hofheinz·J. Nishimura·Y. Susaki·J. Volkholz
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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.

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W. Bietenholz, F. Hofheinz, J. Nishimura, Y. Susaki, J. Volkholz. 2004-09-14. First Simulation Results for the Photon in a Non-Commutative Space. https://doi.org/10.1016/j.nuclphysbps.2004.11.259

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