2024 : 5 : 27
Saeedeh Sadeghian

Saeedeh Sadeghian

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Science
Address: University of Mazandaran
Phone: 011-35302442

Research

Title
Resurgence in the O(4) sigma model
Type
JournalPaper
Keywords
Integrable Field Theories, Renormalization Regularization and Renormalons, Sigma Models, Field Theories in Lower Dimensions
Year
2020
Journal JOURNAL OF HIGH ENERGY PHYSICS
DOI
Researchers Michael C. Abbott ، Zoltan Bajnok ، Janos Balog ، Arpad Hegedus ، Saeedeh Sadeghian

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.