2022-05-18T21:07:10Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000217492021-09-02T06:31:20Z1169:1170Resurgence analysis of 2d Yang-Mills theory on a torusOkuyama, KazumiSakai, Kazuhiro1/N ExpansionNonperturbative EffectsTopological StringsWe 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.ArticleJOURNAL OF HIGH ENERGY PHYSICS.(8):65(2018)journal articleSPRINGER2018-08-13application/pdfJOURNAL OF HIGH ENERGY PHYSICS8651029-8479AA1188279Xhttps://soar-ir.repo.nii.ac.jp/record/21749/files/16K05316_04.pdfeng10.1007/JHEP08(2018)065https://doi.org/10.1007/JHEP08(2018)065© The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.