Constructive Renormalization of 2-dimensional Grosse-Wulkenhaar Model
High Energy Physics - Theory
2012-05-02 v1 Mathematical Physics
math.MP
Abstract
In this talk we briefly report the recent work on the construction of the 2-dimensional Grosse-Wulkenhaar model with the method of loop vertex expansion. We treat renormalization with this new tool, adapt Nelson's argument and prove Borel summability of the perturbation series. This is the first non-commutative quantum field theory model to be built in a non-perturbative sense.
Cite
@article{arxiv.1205.0196,
title = {Constructive Renormalization of 2-dimensional Grosse-Wulkenhaar Model},
author = {Zhituo Wang},
journal= {arXiv preprint arXiv:1205.0196},
year = {2012}
}
Comments
13 pages. Based on the talk at the Corfu Summer Institute 2011 School and Workshops on Elementary Particle Physics and Gravity. To appear in the proceedings