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arXiv · 2409.11324

Meson mass spectrum in QCD$_2$ 't Hooft's model

Alexey Litvinov·Pavel Meshcheriakov
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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.

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Alexey Litvinov, Pavel Meshcheriakov. 2024-09-17. Meson mass spectrum in QCD$_2$ 't Hooft's model. https://arxiv.org/abs/2409.11324

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