Renormalization of Non-Commutative Phi^4_4 Field Theory in x Space
High Energy Physics - Theory
2009-11-11 v2 Mathematical Physics
math.MP
Abstract
In this paper we provide a new proof that the Grosse-Wulkenhaar non-commutative scalar Phi^4_4 theory is renormalizable to all orders in perturbation theory, and extend it to more general models with covariant derivatives. Our proof relies solely on a multiscale analysis in x space. We think this proof is simpler and could be more adapted to the future study of these theories (in particular at the non-perturbative or constructive level).
Keywords
Cite
@article{arxiv.hep-th/0512271,
title = {Renormalization of Non-Commutative Phi^4_4 Field Theory in x Space},
author = {Razvan Gurau and Jacques Magnen and Vincent Rivasseau and Fabien Vignes-Tourneret},
journal= {arXiv preprint arXiv:hep-th/0512271},
year = {2009}
}
Comments
32 pages, v2: correction of lemmas 3.1 and 3.2 with no consequence on the main result