Borel Summability of the 1/N Expansion in Quartic O(N)-Vector Models

被引：0

作者：

Ferdinand, L. ^{[1
]}

Gurau, R. ^{[2
,3
,4
]}

Perez-Sanchez, C. I. ^{[2
]}

Vignes-Tourneret, F. ^{[5
]}

机构：

[1] Univ Paris Saclay, Lab Phys Infinis Irene Joliot Curie IJCLab 2, CNRS, UMR 9012, Bat 210, F-91405 Orsay, France

[2] Heidelberg Univ, Inst Theoret Phys, Philosophenweg 19, D-69120 Heidelberg, Germany

[3] Inst Polytech Paris, Ecole Polytech, CPHT, CNRS, Route Saclay, F-91128 Palaiseau, France

[4] Perimeter Inst Theoret Phys, 31 Caroline St N, Waterloo, ON N2L 2Y5, Canada

[5] Univ Claude Bernard Lyon UMR 1, Univ Lyon, Inst Camille Jordan, CNRS,UMR 5208, F-69622 Villeurbanne, France

来源：

ANNALES HENRI POINCARE | 2024年 / 25卷 / 03期

基金：

欧洲研究理事会;

关键词：

FIELD-THEORY;

D O I：

10.1007/s00023-023-01350-w

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：2037 / 2064

页数：28

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