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

TL;DR

This paper analyzes the asymptotic behavior of the meson mass spectrum in 't Hooft's 2D multicolor QCD model with equal-mass quarks, deriving expansions for different regimes.

Contribution

It provides new asymptotic expansions for the meson spectrum in 't Hooft's model, enhancing understanding of its spectral properties in various regimes.

Findings

Derived asymptotic expansions for meson spectrum

Identified spectral properties in different regimes

Enhanced understanding of 2D QCD meson spectra

Abstract

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.