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^{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.

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

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• Location and Direction Dependent Effects in Collider Physics from Noncommutativity
• S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance
• Fate of the Superconducting Ground State on the Moyal Plane
• UV/IR mixing as a twisted Poincaré anomaly
• Lehmann-Symanzik-Zimmermann S-Matrix elements on the Moyal Plane
• The quantum sinh-Gordon model in noncommutative (1+1) dimensions
• Noncommutative scalar fields in compact spaces: quantisation and implications
• Review of Twisted Poincare Symmetry