English

QED on the Groenewold Moyal Plane

High Energy Physics - Theory 2010-11-23 v2 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Mathematical Physics math.MP Quantum Algebra

Abstract

We investigate a version of noncommutative QED where the interaction term, although natural, breaks the spin-statistics connection. We calculate e+e>e+ee^- + e^- -> e^- + e^- and γ+e>γ+e\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+ee^- + 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.

Keywords

Cite

@article{arxiv.hep-th/0608138,
  title  = {QED on the Groenewold Moyal Plane},
  author = {A. P. Balachandran and B. A. Qureshi and A. Pinzul and S. Vaidya},
  journal= {arXiv preprint arXiv:hep-th/0608138},
  year   = {2010}
}

Comments

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

R2 v1 2026-07-22T15:37:45.426Z