Costituent Quark Picture out of QCD in two dimensions - on the Light-Cone

TL;DR

This paper uses DLCQ to nonperturbatively study the mass spectra of hadrons in two-dimensional QCD with SU(2) and SU(3) color groups, including multi-quark states, providing predictions for low-lying hadron masses.

Contribution

It introduces a Fock-space truncation approach in DLCQ to analyze hadron spectra in 2D QCD, including multi-quark states, and offers mass predictions with minimal finite resolution effects.

Findings

Predicted masses for the first five hadron states with minimal finite K effects.

Included multi-quark states in the analysis for more comprehensive hadron modeling.

Validated the Fock-space truncation method in a nonperturbative QCD context.

Abstract

Using DLCQ as a nonperturbative method, we test Fock-space truncations in ${\rm QCD}_{1+1}$ by studying the mass spectra of hadrons in colour SU(2) and SU(3) at finite harmonic resolution $K$. We include $q\bar q q\bar q$ states for mesons and up to $qqq q\bar q$ states for baryons. With this truncation, we give `predictions' for the masses of the first five states where finite $K$ effects are minimal.