Space-time noncommutativity with a bifermionic parameter

Details Space-time noncommutativity with a bifermionic parameter Space-time noncommutativity with a bifermionic parameter

2007-01-11

arxiv.org/abs/hep-th/0701110v3

Mod.Phys.Lett.A23:887-893,2008

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, v2: reference added, v3: misprints corrected

Scientific paper

10.1142/S0217732308024481

We consider a Moyal plane and propose to make the noncommutativity parameter \Theta^{\mu\nu} bifermionic, i.e., composed of two fermionic (Grassmann odd) parameters. The Moyal product then contains a finite number of derivatives, which allows to avoid difficulties of the standard approach. As an example, we construct a two-dimensional noncommutative field theory model based on the Moyal product with a bifermionic parameter and show that it has a locally conserved energy-momentum tensor. The model has no problems with the canonical quantization and appears to be renormalizable.

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