Resurgence in the O(4) sigma model

Resurgence in the O(4) sigma model

Abstract We analyze the free energy of the integrable two dimensional O(4) sigma model in a magnetic field. We use Volin’s method to extract high number (2000) of perturbative coefficients with very high precision. The factorial growth of these coefficients are regulated by switching to the Borel tr...

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Bibliographic Details
Main Authors: Michael C. Abbott, Zoltán Bajnok, János Balog, Árpád Hegedűs, Saeedeh Sadeghian
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Journal of High Energy Physics
Subjects:
Integrable Field Theories
Renormalization Regularization and Renormalons
Sigma Models
Field Theories in Lower Dimensions
Online Access:https://doi.org/10.1007/JHEP05(2021)253
Description
Summary:Abstract We analyze the free energy of the integrable two dimensional O(4) sigma model in a magnetic field. We use Volin’s method to extract high number (2000) of perturbative coefficients with very high precision. The factorial growth of these coefficients are regulated by switching to the Borel transform, where we perform several asymptotic analysis. High precision data allowed to identify Stokes constants and alien derivatives with exact expressions. These reveal a nice resurgence structure which enables to formulate the first few terms of the ambiguity free trans-series. We check these results against the direct numerical solution of the exact integral equation and find complete agreement.
ISSN:1029-8479

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