Asymptotic scaling from strong coupling

TL;DR

This paper extends strong-coupling analysis of 2D chiral models to 15th order, identifying a scaling region that accurately reproduces continuum results and confirms asymptotic scaling predictions, while also examining large-N phase transition properties.

Contribution

It provides a high-order strong-coupling expansion for 2D chiral models, enabling precise identification of the scaling region and detailed analysis of large-N phase transition characteristics.

Findings

Scaling region accurately reproduces continuum results

Asymptotic scaling predictions are confirmed

Large-N phase transition properties are quantitatively characterized

Abstract

Strong-coupling analysis of two-dimensional chiral models, extended to 15th order, allows for the identification of a scaling region where known continuum results are reproduced with great accuracy, and asymptotic scaling predictions are fulfilled. The properties of the large-$N$ second-order phase transition are quantitatively investigated.