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Asymptotic properties of mass spectrum in 't Hooft's model of mesons

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arxiv 1003.4304 v2 pith:CWYCIKCU submitted 2010-03-22 hep-th math-phmath.MP

Iskander Ziyatdinov This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords asymptotichooftmesonspropertiesspectrumboundcaseconsider
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We study 't Hooft's equation for bound states in 2d multicolor QCD. We consider the case of quarks with equal masses. We derive asymptotic expansions for the spectrum of mesons in different regimes and study their properties.

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Cited by 2 Pith papers

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  1. Meson mass spectrum in Ising Field Theory

    hep-th 2025-07 conditional novelty 7.0 of 10

    The authors derive exact spectral sums and WKB expansions for Bethe-Salpeter meson masses in Ising field theory and predict meson mass degeneracies at complex critical points.

  2. QCD$_2$ 't Hooft model: 2-flavour mesons spectrum

    hep-th 2025-04 conditional novelty 6.0 of 10

    For the 't Hooft model with two unequal-mass quarks, the authors derive conjecturally exact spectral sums and a systematic large-n WKB expansion of the meson spectrum, verified numerically.

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