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The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation / J. Sonnenschein, U. Trittmann, Y. Frishman, Adi Armoni

Nuclear Physics B, Volume: "B537", Issue: 1-3, Pages: 503 - 515

Swansea University Author: Adi Armoni

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Abstract

Massless $QCD_2$ 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 $...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1998
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28689
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Abstract: Massless $QCD_2$ 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 $M^2={e^2 N_f\over 2\pi}$ 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
College: College of Science
Issue: 1-3
Start Page: 503
End Page: 515