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### The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation / J. Sonnenschein, U. Trittmann, Y. Frishman, Adi Armoni

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

Swansea University Author:

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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 $... Full description Published in: Nuclear Physics B 05503213 1998 https://cronfa.swan.ac.uk/Record/cronfa28689 No Tags, Be the first to tag this record! first_indexed 2016-06-04T12:47:10Z 2018-02-09T05:13:04Z cronfa28689 SURis 2016-06-04T06:08:42.7041849v2286892016-06-04The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation3f75faad0563a2d3b191191a2efee9560000-0002-8105-0645AdiArmoniAdi Armonitruefalse2016-06-04SPHMassless$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}$which correspond to Abelian solutions. We generalize previously discovered non-Abelian solutions and discuss their interpretation. We prove a no-go theorem ruling out the existence of soliton solutions. Thus the semi-classical approximation shows no baryons in the case of massless quarks, a result derived before in the strong-coupling limitJournal ArticleNuclear Physics B"B537"1-35035150550321331519981998-05-3110.1016/S0550-3213(98)00664-6http://inspirehep.net/record/470902COLLEGE NANMEPhysicsCOLLEGE CODESPHSwansea University2016-06-04T06:08:42.70418492016-06-04T06:08:42.4545833College of SciencePhysicsJ.Sonnenschein1U.Trittmann2Y.Frishman3AdiArmoni0000-0002-8105-06454 2016-06-04T06:08:42.7041849 v2 28689 2016-06-04 The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation 3f75faad0563a2d3b191191a2efee956 0000-0002-8105-0645 Adi Armoni Adi Armoni true false 2016-06-04 SPH Massless$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}$which correspond to Abelian solutions. We generalize previously discovered non-Abelian solutions and discuss their interpretation. We prove a no-go theorem ruling out the existence of soliton solutions. Thus the semi-classical approximation shows no baryons in the case of massless quarks, a result derived before in the strong-coupling limit Journal Article Nuclear Physics B "B537" 1-3 503 515 05503213 31 5 1998 1998-05-31 10.1016/S0550-3213(98)00664-6 http://inspirehep.net/record/470902 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-04T06:08:42.7041849 2016-06-04T06:08:42.4545833 College of Science Physics J. Sonnenschein 1 U. Trittmann 2 Y. Frishman 3 Adi Armoni 0000-0002-8105-0645 4 The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation Adi, Armoni The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation The spectrum of multi-flavor QCD2 and the non-abelian Schwinger equation 3f75faad0563a2d3b191191a2efee956 3f75faad0563a2d3b191191a2efee956_***_Adi, Armoni Adi, Armoni J. Sonnenschein U. Trittmann Y. Frishman Adi Armoni Journal article Nuclear Physics B "B537" 1-3 503 1998 Swansea University 05503213 10.1016/S0550-3213(98)00664-6 College of Science collegeofscience College of Science collegeofscience College of Science Physics{{{_:::_}}}College of Science{{{_:::_}}}Physics http://inspirehep.net/record/470902 0 0 Massless$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 1998-05-31T03:43:58Z 1711568205447692288 10.823254