Towards noncommutative fuzzy QED

@article{DelgadilloBlando2006TowardsNF,
  title={Towards noncommutative fuzzy QED},
  author={Rodrigo Delgadillo-Blando and Badis Ydri},
  journal={Journal of High Energy Physics},
  year={2006},
  volume={2007},
  pages={056-056}
}
We study in one-loop perturbation theory noncommutative fuzzy quenched QED4. We write down the effective action on fuzzy S2 ? S2 and show the existence of a gauge-invariant UV-IR mixing in the model in the large N planar limit. We also give a derivation of the beta function and comment on the limit of large mass of the normal scalar fields. We also discuss topology change in this 4 fuzzy dimensions arising from the interaction of fields (matrices) with spacetime through its noncommutativity. 

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