Continuum limit of susceptibility from strong coupling expansion: Two dimensional non-linear O(N) sigma model at N>= 3

TL;DR

This paper uses strong coupling expansion and Pade-Borel approximants to analyze the susceptibility scaling in the two-dimensional O(N) sigma model at N>=3, providing non-perturbative constant estimates and comparing with existing data.

Contribution

It introduces a novel application of Pade-Borel approximants to the strong coupling expansion for susceptibility analysis in the O(N) sigma model at large N.

Findings

Scaling behavior observed at four-loop level

Non-perturbative constants estimated for N>=3

Results agree with theoretical and Monte Carlo data

Abstract

Based on the strong coupling expansion, we reinvestigate the scaling behavior of the susceptibility chi of two-dimensional O(N) sigma model on the square lattice by the use of Pade-Borel approximants. To exploit the Borel transform, we express the bare coupling g in series expansion in chi. At large N, Pade-Borel approximants exhibit the scaling behavior at the four-loop level. Then, the estimation of the non-perturbative constant associated with the susceptibility is performed for N>=3 and the results are compared with the available theoretical results and Monte Carlo data.