From perturbative to non-perturbative in the O(4) sigma model
High Energy Physics - Theory
2021-06-02 v3
Abstract
We study the resurgent trans-series for the free energy of the two-dimensional O(4) sigma model in a magnetic field. Exploiting integrability, we obtain very high-order perturbative data, from which we can explore non-perturbative sectors. We are able to determine exactly the leading real-valued exponentially small terms, which we check against the direct numerical solution of the exact integral equation, and find complete agreement.
Keywords
Cite
@article{arxiv.2011.09897,
title = {From perturbative to non-perturbative in the O(4) sigma model},
author = {Michael C. Abbott and Zoltán Bajnok and János Balog and Árpád Hegedűs},
journal= {arXiv preprint arXiv:2011.09897},
year = {2021}
}
Comments
5 pages, 3 figures. v2 adds some references, one more term d_3, v3: some explanations are clarified, document is restructured, 11 pages now