Meson mass spectrum in QCD$_2$ 't Hooft's model
High Energy Physics - Theory
2025-04-17 v3 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
We study the spectrum of meson masses in large QCD 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 Our results include analytical expressions for spectral sums and systematic large- expansion. We also study the spectral sums in the chiral limit and the heavy quark limit and find a complete agreement with known results.
Cite
@article{arxiv.2409.11324,
title = {Meson mass spectrum in QCD$_2$ 't Hooft's model},
author = {Alexey Litvinov and Pavel Meshcheriakov},
journal= {arXiv preprint arXiv:2409.11324},
year = {2025}
}
Comments
29 pages and 1 figure, v3: typos corrected