QED on the Groenewold Moyal Plane

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages LaTeX, 6 figures;Title and abstract revised to coincide with version published in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X09046837

We investigate a version of noncommutative QED where the interaction term, although natural, breaks the spin-statistics connection. We calculate $e^- + e^- -> e^- + e^-$ and $\gamma + e^- -> \gamma + e^-$ cross-sections in the tree approximation and explicitly display their dependence on theta^{\mu \nu}. Remarkably the zero of the elastic $e^- + e^- -> e^- + e^-$ cross-section at 90-degrees in the center-of-mass system, which is due to Pauli principle, is shifted away as a function of theta^{\mu \nu} and energy.

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