Nuclear Physics B (Jan 2025)

Meson mass spectrum in QCD2 't Hooft's model

  • Alexey Litvinov,
  • Pavel Meshcheriakov

DOI
https://doi.org/10.1016/j.nuclphysb.2024.116766
Journal volume & issue
Vol. 1010
p. 116766

Abstract

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We study the spectrum of meson masses in large Nc QCD2 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 m1=m2. Our results include analytical expressions for spectral sums and systematic large-n expansion. We also study the spectral sums in the chiral limit and the heavy quark limit and find a complete agreement with known results.