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

J. Sonnenschein, U. Trittmann, Y. Frishman, Adi Armoni Orcid Logo

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

Swansea University Author: Adi Armoni Orcid Logo

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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 $...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1998
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URI: https://cronfa.swan.ac.uk/Record/cronfa28689
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first_indexed 2016-06-04T12:47:10Z
last_indexed 2018-02-09T05:13:04Z
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spelling 2016-06-04T06:08:42.7041849 v2 28689 2016-06-04 The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation 3f75faad0563a2d3b191191a2efee956 0000-0002-8105-0645 Adi Armoni Adi Armoni true false 2016-06-04 SPH 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 Journal Article Nuclear Physics B "B537" 1-3 503 515 05503213 31 5 1998 1998-05-31 10.1016/S0550-3213(98)00664-6 http://inspirehep.net/record/470902 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-04T06:08:42.7041849 2016-06-04T06:08:42.4545833 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics J. Sonnenschein 1 U. Trittmann 2 Y. Frishman 3 Adi Armoni 0000-0002-8105-0645 4
title The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation
spellingShingle The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation
Adi Armoni
title_short The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation
title_full The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation
title_fullStr The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation
title_full_unstemmed The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation
title_sort The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation
author_id_str_mv 3f75faad0563a2d3b191191a2efee956
author_id_fullname_str_mv 3f75faad0563a2d3b191191a2efee956_***_Adi Armoni
author Adi Armoni
author2 J. Sonnenschein
U. Trittmann
Y. Frishman
Adi Armoni
format Journal article
container_title Nuclear Physics B
container_volume "B537"
container_issue 1-3
container_start_page 503
publishDate 1998
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(98)00664-6
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/470902
document_store_str 0
active_str 0
description 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
published_date 1998-05-31T03:34:58Z
_version_ 1763751491678502912
score 11.014067

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