Charging the $O(N)$ model
High Energy Physics - Theory
2021-02-09 v2 High Energy Physics - Phenomenology
Abstract
We determine, for the first time, the scaling dimensions of a family of fixed-charge operators stemming from the critical model in 4- dimensions to the leading and next to leading order terms in the charge expansion but to all-orders in the coupling. We test our results to the maximum known order in perturbation theory while determining higher order terms.
Cite
@article{arxiv.2003.13121,
title = {Charging the $O(N)$ model},
author = {Oleg Antipin and Jahmall Bersini and Francesco Sannino and Zhi-Wei Wang and Chen Zhang},
journal= {arXiv preprint arXiv:2003.13121},
year = {2021}
}
Comments
6 pages. v2 Added the 4-loop anomalous dimension of spin-0 operators transforming in the traceless symmetric O(N) representations; corrected some formulae while the rest matches the PRD version