Renormalization of Orientable Non-Commutative Complex $\Phi^6_3$ Model
High Energy Physics - Theory
2011-04-22 v1
Abstract
In this paper we prove that the Grosse-Wulkenhaar type non-commutative orientable complex scalar theory, with two non-commutative coordinates and the third one commuting with the other two, is renormalizable to all orders in perturbation theory. Our proof relies on a multiscale analysis in x space.
Cite
@article{arxiv.0710.2652,
title = {Renormalization of Orientable Non-Commutative Complex $\Phi^6_3$ Model},
author = {Zhituo Wang and Shaolong Wan},
journal= {arXiv preprint arXiv:0710.2652},
year = {2011}
}
Comments
29 pages, 3 figures to appear in Annales Henri Poincare