The spectrum of multi-flavor QCD(2) and the non-abelian Schwinger equation

Citation
A. Armoni et al., The spectrum of multi-flavor QCD(2) and the non-abelian Schwinger equation, NUCL PHYS B, 537(1-3), 1999, pp. 503-515
Citations number
21
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B
ISSN journal
05503213 → ACNP
Volume
537
Issue
1-3
Year of publication
1999
Pages
503 - 515
Database
ISI
SICI code
0550-3213(19990104)537:1-3<503:TSOMQA>2.0.ZU;2-J
Abstract
Massless QCD(2) is dominated by classical configurations in the large-N-f l imit. We use this observation to study the theory by finding solutions to e quations of motion, which are the non-abelian generalization of the Schwing er equation. We find that the spectrum consists of massive mesons with M-2 = e(2)N(f)/2 pi, which correspond to abelian solutions. We generalize previ ously 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 q uarks, a result derived before in the strong-coupling limit only. (C) 1999 Elsevier Science B.V.