{"title":"Meson mass spectrum in QCD$_2$ 't Hooft's model","authors":"Alexey Litvinov, Pavel Meshcheriakov","doi":"arxiv-2409.11324","DOIUrl":null,"url":null,"abstract":"We study the spectrum of meson masses in large $N_c$ QCD$_2$ governed by\ncelebrated 't Hooft's integral equation. We generalize analytical methods\nproposed by Fateev, Lukyanov and Zamolodchikov to the case of arbitrary, but\nequal quark masses $m_1=m_2.$ Our results include analytical expressions for\nspectral sums and systematic large-$n$ expansion.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"41 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11324","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study the spectrum of meson masses in large $N_c$ QCD$_2$ governed by
celebrated 't Hooft's integral equation. We generalize analytical methods
proposed by Fateev, Lukyanov and Zamolodchikov to the case of arbitrary, but
equal quark masses $m_1=m_2.$ Our results include analytical expressions for
spectral sums and systematic large-$n$ expansion.