On the mass spectrum in 't Hooft's 2D model of mesons

V. A. Fateev, S. L. Lukyanov, A. B. Zamolodchikov

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13 Scopus citations


We study 't Hooft's integral equation determining the meson masses M n in multicolor QCD2. In this paper we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses . Among our results is the systematic large-n expansion, and exact sum rules for Mn. Although we explicitly discuss only the special case, the method applies to the general case of quark masses, and we announce some preliminary results for m1 = m2 (equations (6.1) and (6.3)).

Original languageEnglish (US)
Article number304012
JournalJournal of Physics A: Mathematical and Theoretical
Issue number30
StatePublished - 2009

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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