English

Commutative limit of a renormalizable noncommutative model

High Energy Physics - Theory 2009-08-03 v2 Mathematical Physics math.MP

Abstract

Renormalizable ϕ44\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.

Cite

@article{arxiv.0807.4093,
  title  = {Commutative limit of a renormalizable noncommutative model},
  author = {Jacques Magnen and Vincent Rivasseau and Adrian Tanasa},
  journal= {arXiv preprint arXiv:0807.4093},
  year   = {2009}
}

Comments

11 pages, 3 figures, minor misprints being corrected

R2 v1 2026-06-21T11:04:21.323Z