Parametric representation of a translation-invariant renormalizable noncommutative model

Adrian Tanasa
2009 Journal of Physics A: Mathematical and Theoretical  
We construct here the parametric representation of a translation-invariant renormalizable scalar model on the noncommutative Moyal space of even dimension D. This representation of the Feynman amplitudes is based on some integral form of the noncommutative propagator. All types of graphs (planar and non-planar) are analyzed. The rôle played by noncommutativity is explicitly shown. This parametric representation established allows to calculate the power counting of the model. Furthermore, the
more » ... ce dimension D is just a parameter in the formulas obtained. This paves the road for the dimensional regularization of this noncommutative model.
doi:10.1088/1751-8113/42/36/365208 fatcat:fmpl3tre4zhxzoeri7e2p2s7tq