@article{oai:soar-ir.repo.nii.ac.jp:00021749,
author = {Okuyama, Kazumi and Sakai, Kazuhiro},
issue = {8},
journal = {JOURNAL OF HIGH ENERGY PHYSICS},
month = {Aug},
note = {We study the large N 't Hooft expansion of the partition function of 2d U(N) Yang-Mills theory on a torus. We compute the 1/N genus expansion of both the chiral and the full partition function of 2d Yang-Mills using the recursion relation found by Kaneko and Zagier with a slight modification. Then we study the large order behavior of this genus expansion, from which we extract the non-perturbative correction using the resurgence relation. It turns out that the genus expansion is not Borel summable and the coefficient of 1-instanton correction, the so-called Stokes parameter, is pure imaginary. We find that the non-perturbative correction obtained from the resurgence is reproduced from a certain analytic continuation of the grand partition function of a system of non-relativistic fermions on a circle. Our analytic continuation is different from that considered in hep-th/0504221., Article, JOURNAL OF HIGH ENERGY PHYSICS.(8):65(2018)},
title = {Resurgence analysis of 2d Yang-Mills theory on a torus},
year = {2018}
}