The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation

A. Armoni*, Y. Frishman, J. Sonnenschein, U. Trittmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

Massless QCD2 is dominated by classical configurations in the large-Nf 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 M2 = e2Nf/2π, 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.

Original languageEnglish
Pages (from-to)503-515
Number of pages13
JournalNuclear Physics B
Volume537
Issue number1-3
DOIs
StatePublished - 4 Jan 1999

Funding

FundersFunder number
US-Israel Binational Science Foundation
Center for Theoretical Biological Physics
Minerva Foundation
Israel Science Foundation

    Keywords

    • Mesons
    • Multi-flavor
    • QCD
    • Quarks

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