Nilpotent noncommutativity and renormalization

Details Nilpotent noncommutativity and renormalization Nilpotent noncommutativity and renormalization

2008-04-09

arxiv.org/abs/0804.1566v2

Phys.Rev.D78:025004,2008

Physics

High Energy Physics

High Energy Physics - Theory

5 figures, a reference added

Scientific paper

10.1103/PhysRevD.78.025004

We analyze renormalizability properties of noncommutative (NC) theories with a bifermionic NC parameter. We introduce a new 4-dimensional scalar field model which is renormalizable at all orders of the loop expansion. We show that this model has an infrared stable fixed point (at the one-loop level). We check that the NC QED (which is one-loop renormalizable with usual NC parameter) remains renormalizable when the NC parameter is bifermionic, at least to the extent of one-loop diagrams with external photon legs. Our general conclusion is that bifermionic noncommutativity improves renormalizablility properties of NC theories.

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