1+1 dimensional QCD with fundamental bosons and fermions

TL;DR

This paper investigates the meson spectrum in 1+1 dimensional QCD with bosonic and fermionic quarks, revealing the impossibility of massless mesons with boson constituents and analyzing mass inequalities and confinement.

Contribution

It provides a detailed analysis of meson properties in 1+1D QCD with mixed bosonic and fermionic quarks, introducing methods for studying their spectra and physical characteristics.

Findings

Massless mesons with bosonic constituents are impossible.

QCD mass inequality is nearly saturated in this model.

Methods for analyzing meson properties are explicitly formulated.

Abstract

We analyze the properties of mesons in 1+1 dimensional QCD with bosonic and fermionic ``quarks'' in the large $\nc$ limit. We study the spectrum in detail and show that it is impossible to obtain massless mesons including boson constituents in this model. We quantitatively show how the QCD mass inequality is realized in two dimensional QCD. We find that the mass inequality is close to being an equality even when the quarks are light. Methods for obtaining the properties of ``mesons'' formed from boson and/or fermion constituents are formulated in an explicit manner convenient for further study. We also analyze how the physical properties of the mesons such as confinement and asymptotic freedom are realized.