Commutative limit of a renormalizable noncommutative model

Details Commutative limit of a renormalizable noncommutative model Commutative limit of a renormalizable noncommutative model

2008-07-25

arxiv.org/abs/0807.4093v2

Europhys.Lett.86:11001,2009

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 3 figures, minor misprints being corrected

Scientific paper

10.1209/0295-5075/86/11001

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 uv/ir mixing in general Feynman graphs.

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