Meson mass spectrum in QCD2 't Hooft's model
Alexey Litvinov, Pavel Meshcheriakov
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.
Topics & Concepts
Particle physicsMesonSpectrum (functional analysis)PhysicsMass spectrumQuantum mechanicsIonQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesBlack Holes and Theoretical Physics