  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.
