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 $\gamma +e^{-}->\gamma +e^{-}$ 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.

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