Two and Three Loops Beta Function of Non Commutative $\Phi^4_4$ Theory
High Energy Physics - Theory
2008-11-26 v1
Abstract
The simplest non commutative renormalizable field theory, the model on four dimensional Moyal space with harmonic potential is asymptotically safe at one loop, as shown by H. Grosse and R. Wulkenhaar. We extend this result up to three loops. If this remains true at any loop, it should allow a full non perturbative construction of this model.
Keywords
Cite
@article{arxiv.hep-th/0610224,
title = {Two and Three Loops Beta Function of Non Commutative $\Phi^4_4$ Theory},
author = {Margherita Disertori and Vincent Rivasseau},
journal= {arXiv preprint arXiv:hep-th/0610224},
year = {2008}
}
Comments
24 pages, 7 figures