Resurgence of the large-charge expansion

TL;DR

This paper explores the large-charge expansion in the 3D O(2N) model at criticality, revealing its asymptotic nature and employing resurgence methods to incorporate non-perturbative effects, extending the effective theory's applicability.

Contribution

It introduces resurgence techniques to analyze non-perturbative corrections in the large-charge expansion of the O(2N) model, providing a conjecture for conformal dimensions for all N.

Findings

Large-charge expansion is asymptotic.

Resurgence techniques effectively include non-perturbative effects.

Conjecture matches lattice data well.

Abstract

We study the O(2N) model at criticality in three dimensions in the double scaling limit of large N and large charge. We show that the large-charge expansion is an asymptotic series, and we use resurgence techniques to study the non-perturbative corrections and to extend the validity of the effective field theory to any value of the charge. We conjecture the general form of the non-perturbative behavior of the conformal dimensions for any value of N and find very good agreement with previous lattice data.