English

Resurgence of the large-charge expansion

High Energy Physics - Theory 2021-05-19 v2

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.

Keywords

Cite

@article{arxiv.2102.12488,
  title  = {Resurgence of the large-charge expansion},
  author = {Nicola Dondi and Ioannis Kalogerakis and Domenico Orlando and Susanne Reffert},
  journal= {arXiv preprint arXiv:2102.12488},
  year   = {2021}
}

Comments

references added, minor fixes