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Bibliographic Details
Main Authors:	Ferdinand, Léonard, Gurau, Razvan, Perez-Sanchez, Carlos I., Vignes-Tourneret, Fabien
Format:	Preprint
Published:	2022
Subjects:	Mathematical Physics
Online Access:	https://arxiv.org/abs/2209.09045
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Table of Contents:

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.