1+1 dimensional QCD with fundamental bosons and fermions

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.

20 pages, harvmac, 5 figures

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Cited by in corpus (8)

• Variational Mass Perturbation Theory for Light-Front Bound-State Equations
• Large N limit of SO(N) scalar gauge theory
• Quark-hadron duality for heavy meson mixings in the 't Hooft model
• Physics of the gauged four fermi model in $(1+1)$ dimensions
• Supergrassmannian and large N limit of quantum field theory with bosons and fermions
• Large N limit of SO(N) gauge theory of fermions and bosons
• Mass inequalities in two dimensional gauged four fermi models
• On three dimensional coupled bosons