Constructive Renormalization for $\Phi^{4}_2$ Theory with Loop Vertex Expansion
Mathematical Physics
2014-07-02 v3 High Energy Physics - Theory
math.MP
Abstract
In this paper we construct the 2 dimensional Euclidean quantum field theory using the method of loop vertex expansion. We reproduce the results of standard constructive theory, for example the Borel summability of the Schwinger functions in the coupling constant. Our method should be also suitable for the future construction of Grosse-Wulkenhaar models on non-commutative space-time.
Cite
@article{arxiv.1104.3443,
title = {Constructive Renormalization for $\Phi^{4}_2$ Theory with Loop Vertex Expansion},
author = {Vincent Rivasseau and Zhituo Wang},
journal= {arXiv preprint arXiv:1104.3443},
year = {2014}
}
Comments
The paper has been withdrawn because it contained some mistakes found by the authors themselves and which they corrected in the new version arXiv:1406.7428