Non-renormalizability of θ-expanded noncommutative QED

Details Non-renormalizability of θ-expanded noncommutative QED Non-renormalizability of θ-expanded noncommutative QED

2001-12-28

arxiv.org/abs/hep-th/0112248v2

JHEP0203:024,2002

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, LaTeX, JHEP.cls, uses the feynmf package to draw 96 Feynman graphs. v2: minor corrections, references added, adapted

Scientific paper

10.1088/1126-6708/2002/03/024

Computing all divergent one-loop Green's functions of \theta-expanded noncommutative quantum electrodynamics up to first order in \theta, we show that this model is not renormalizable. The reason is a divergence in the electron four-point function which cannot be removed by field redefinitions. Ignoring this problem, we find however clear hints for new symmetries in massless \theta-expanded noncommutative QED: Four additional divergences which would be compatible with gauge and Lorentz symmetries and which are not reachable by field redefinitions are absent.

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