Journal article 1308 views
The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation
Nuclear Physics B, Volume: "B537", Issue: 1-3, Pages: 503 - 515
Swansea University Author:
Adi Armoni
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DOI (Published version): 10.1016/S0550-3213(98)00664-6
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 $...
| Published in: | Nuclear Physics B |
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| ISSN: | 05503213 |
| Published: |
1998
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa28689 |
| 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 |
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| College: |
Faculty of Science and Engineering |
| Issue: |
1-3 |
| Start Page: |
503 |
| End Page: |
515 |