On the resummation of the Lee-Yang edge singularity coupled to gravity

TL;DR

This paper applies Borel-Padé resummation to the asymptotic series of the Lee-Yang edge singularity coupled to gravity, demonstrating high-accuracy solutions that align with numerical integration without additional corrections.

Contribution

It introduces a numerical resummation method for the string equation of the Lee-Yang edge singularity coupled to gravity, achieving precise solutions.

Findings

Resummation matches numerical integration results

High-accuracy solutions obtained without non-perturbative corrections

Effective numerical methods for the string equation

Abstract

We study the Borel-Pad\'e resummation of the asymptotic series for the string equation of the Lee-Yang edge singularity. Numerical methods are provided to compute a high accuracy exact solution. We find the resummation matches the numerical integration without need for further non-perturbative corrections.