On mass spectrum in 't Hooft's 2D model of mesons Auteur(s): Fateev V., Zamolodchikov Alexandr, Lukyanov Sergei (Article) Publié: Journal Of Physics A: Mathematical And Theoretical, vol. 42 p.304012 (2009) Texte intégral en Openaccess : Ref HAL: hal-00423711_v1 DOI: 10.1088/1751-8113/42/30/304012 WoS: 000267943000013 Exporter : BibTex | endNote 13 Citations Résumé: We study 't Hooft's integral equation determining the meson masses M_n in multicolor QCD_2. In this note we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses m_1=m_2=g/\sqrt{\pi}. Among our results is systematic large-n expansion, and exact sum rules for M_n. Although we explicitly discuss only the special case, the method applies to the general case of the quark masses, and we announce some preliminary results for m_1=m_2. |