## 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}/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 language | English |
---|---|

Pages (from-to) | 503-515 |

Number of pages | 13 |

Journal | Nuclear Physics B |

Volume | 537 |

Issue number | 1-3 |

DOIs | |

State | Published - 4 Jan 1999 |

### Funding

Funders | Funder number |
---|---|

US-Israel Binational Science Foundation | |

Center for Theoretical Biological Physics | |

Minerva Foundation | |

Israel Science Foundation |

## Keywords

- Mesons
- Multi-flavor
- QCD
- Quarks

## Fingerprint

Dive into the research topics of 'The spectrum of multi-flavor QCD_{2}and the non-abelian Schwinger equation'. Together they form a unique fingerprint.