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Meson mass spectrum in QCD$_2$ 't Hooft's model
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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.
Forward citations
Cited by 2 Pith papers
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Meson mass spectrum in Ising Field Theory
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.
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Light-front diagnostics in the 't Hooft model: II. Boundary cancellations, ERBL spectral sums, and analyticity of the EMT form factor
In the 't Hooft model, valence (DGLAP) and pair-creation (ERBL) contributions to the meson energy–momentum-tensor form factor cancel their boundary singularities order by order, leaving an analytic form factor whose c...
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