Commutative limit of a renormalizable noncommutative model

Renormalizable $\phi ^{\star 4}_{4}$ 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...

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Bibliographic Details
Published in:Europhysics letters 2009-04, Vol.86 (1), p.11001-11001
Main Authors: Magnen, J, Rivasseau, V, Tanasa, A
Format: Article
Language:English
Subjects:
11.10.Nx
High Energy Physics - Theory
Physics
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Summary:Renormalizable $\phi ^{\star 4}_{4}$ 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.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/86/11001