Seminars: P. A. Meshcheriakov, Meson mass spectrum in QCD$

SEMINARS


Seminar of the LHEP (MIPT) theory group October 30, 2024 14:30, Dolgoprudny, MIPT, Laboratory building, room 403

Meson mass spectrum in QCD$_2$ 't Hooft's model P. A. Meshcheriakov^abc ^a L.D. Landau Institute for Theoretical Physics of Russian Academy of Sciences ^b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region ^c Igor Krichever Center for Advanced Studies, Skolkovo Institute of Science and Technology
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. We also study the spectral sums in the chiral limit and the heavy quark limit and find a complete agreement with known results.