Commutative limit of a renormalizable noncommutative modelJ. Magnen1, V. Rivasseau2 and A. Tanasa1, 3
1 Centre de Physique Théorique, CNRS UMR 7644, Ecole Polytechnique - 91128 Palaiseau, France, EU
2 Laboratoire de Physique Théorique, CNRS UMR 8627, bât. 210, Université Paris XI - 91405 Orsay Cedex, France, EU
3 Institutul de Fizica si Inginerie Nucleara Horia Hulubei - P. O. Box MG-6, 077125 Bucuresti-Magurele, Romania, EU
received 20 February 2009; accepted in final form 16 March 2009; published April 2009
published online 22 April 2009
Renormalizable models on Moyal space have been obtained by modifying the commutative propagator. But these models have a divergent “naive” commutative limit. We explain here how to obtain a coherent such commutative limit for a recently proposed translation-invariant model. The mechanism relies on the analysis of the ultraviolet/infrared mixing in Feynman graphs at any order in perturbation theory.
11.10.Nx - Noncommutative field theory.
© EPLA 2009