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

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arxiv 2504.12081 v1 pith:54UED7Y7 submitted 2025-04-16 hep-th hep-phmath-phmath.MP

classification hep-thhep-phmath-phmath.MP
keywords spectrumanalyticalhooftknownlarge-modelresultsaddressing
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abstract

We continue analytical study of the meson mass spectrum in the large-$N_c$ two-dimensional QCD, known as the 't Hooft model, by addressing the most general case of quarks with unequal masses. Based on our previous work, we develop non-perturbative methods to compute spectral sums and systematically derive large-$n$ WKB expansion of the spectrum. Furthermore, we examine the behavior of these results in various asymptotic regimes, including the chiral, heavy quark, and heavy-light limits, and establish a precise coincidence with known analytical and numerical results obtained through alternative approaches.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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. Faddeev description of baryons in two-dimensional QCD with $N_c=3$. I. Chiral spectrum, isospin, and strangeness

    hep-ph 2026-07 accept novelty 6.5 of 10

    A valence light-front Faddeev solution of Nc=3 QCD2 yields a massless chiral baryon, Webber’s tower, inverted Σ–Λ ordering, and protected GMO/Coleman–Glashow relations in mass squared.

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