arXiv · hep-th/0608138
QED on the Groenewold Moyal Plane
Abstract
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 $γ+ e^- -> γ+ e^-$ cross-sections in the tree approximation and explicitly display their dependence on theta^{μν}. 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^{μν} and energy.
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A. P. Balachandran, B. A. Qureshi, A. Pinzul, S. Vaidya. 2009-10-26. QED on the Groenewold Moyal Plane. https://doi.org/10.1142/s0217751x09046837
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