The spectrum of multi-flavor QCD_2 and the non-Abelian Schwinger equation

Abstract

Massless $QC{D}_2$ is dominated by classical configurations in the large $N_f$ limit. We use this observation to study the theory by finding solutions to equations of motion, which are the non-Abelian generalization of the Schwinger equation. We find that the spectrum consists of massive mesons with $M^2=\frac{e^2{N}_f}{2\pi }$ which correspond to Abelian solutions. We generalize previously discovered non-Abelian solutions and discuss their interpretation. We prove a no-go theorem ruling out the existence of soliton solutions. Thus the semi-classical approximation shows no baryons in the case of massless quarks, a result derived before in the strong-coupling limit only.

17 pages, Latex. 1 figure

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• The string tension in massive $QC{D}_2$
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• QCD2-Screening, Confinement and Novel non-abelian Solutions
• Adjoint QCD2 and the Non-Abelian Schwinger Mechanism
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