Borel summability of the 1/N expansion in quartic O(N)-vector models
Mathematical Physics
2024-03-07 v1 math.MP
Abstract
We consider a quartic O(N)-vector model. Using the Loop Vertex Expansion, we prove the Borel summability in 1/N along the real axis of the partition function and of the connected correlations of the model. The Borel summability holds uniformly in the coupling constant, as long as the latter belongs to a cardioid like domain of the complex plane, avoiding the negative real axis.
Keywords
Cite
@article{arxiv.2209.09045,
title = {Borel summability of the 1/N expansion in quartic O(N)-vector models},
author = {Léonard Ferdinand and Razvan Gurau and Carlos I. Perez-Sanchez and Fabien Vignes-Tourneret},
journal= {arXiv preprint arXiv:2209.09045},
year = {2024}
}
Comments
23 pages, 2 figures