| Issue |
EPL
Volume 86, Number 1, April 2009
|
|
|---|---|---|
| Article Number | 11001 | |
| Number of page(s) | 6 | |
| Section | The Physics of Elementary Particles and Fields | |
| DOI | https://doi.org/10.1209/0295-5075/86/11001 | |
| Published online | 22 April 2009 | |
Commutative limit of a renormalizable noncommutative model
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
Corresponding authors: jacques.magnen@cpht.polytechnique.fr vincent.rivasseau@th.u-psud.fr adrian.tanasa@ens-lyon.org
Received:
20
February
2009
Accepted:
16
March
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.
PACS: 11.10.Nx – Noncommutative field theory
© EPLA, 2009
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