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.

3 pages, 4 figures, talk presented by J. Volkholz at Lattice2004(theory)

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Cited by in corpus (6)

• A non-perturbative study of 4d U(1) non-commutative gauge theory -- the fate of one-loop instability
• Monte Carlo Simulation of a NC Gauge Theory on The Fuzzy Sphere
• The index of the overlap Dirac operator on a discretized 2d non-commutative torus
• The One-Plaquette Model Limit of NC Gauge Theory in 2D
• Probability distribution of the index in gauge theory on 2d non-commutative geometry
• Impact of Supersymmetry on Emergent Geometry in Yang-Mills Matrix Models II