Confinement, solitons and the equivalence between the sine-Gordon and massive Thirring models

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dc.contributor.authorAchic, H.S. Blas [UNESP]
dc.contributor.authorFerreira, L. A. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:19:54Z
dc.date.available2014-05-27T11:19:54Z
dc.date.issued2000-04-10
dc.description.abstractWe consider a two-dimensional integrable and conformally invariant field theory possessing two Dirac spinors and three scalar fields. The interaction couples bilinear terms in the spinors to exponentials of the scalars. Its integrability properties are based on the sl(2) affine Kac-Moody algebra, and it is a simple example of the so-called conformal affine Toda theories coupled to matter fields. We show, using bosonization techniques, that the classical equivalence between a U(1) Noether current and the topological current holds true at the quantum level, and then leads to a bag model like mechanism for the confinement of the spinor fields inside the solitons. By bosonizing the spinors we show that the theory decouples into a sine-Gordon model and free scalars. We construct the two-soliton solutions and show that their interactions lead to the same time delays as those for the sine-Gordon solitons. The model provides a good laboratory to test duality ideas in the context of the equivalence between the sine-Gordon and Thirring theories. © 2000 Elsevier Science B.V. All rights reserved.en
dc.description.affiliationInstituto de Fisica Teorica - IFT UNESP, Rua Pamplona 145, 01405-900 São Paulo-SP
dc.description.affiliationUnespInstituto de Fisica Teorica - IFT UNESP, Rua Pamplona 145, 01405-900 São Paulo-SP
dc.format.extent607-631
dc.identifierhttp://dx.doi.org/10.1016/S0550-3213(00)00015-8
dc.identifier.citationNuclear Physics B, v. 571, n. 3, p. 607-631, 2000.
dc.identifier.doi10.1016/S0550-3213(00)00015-8
dc.identifier.issn0550-3213
dc.identifier.scopus2-s2.0-0034629596
dc.identifier.urihttp://hdl.handle.net/11449/66141
dc.identifier.wosWOS:000086684300004
dc.language.isoeng
dc.relation.ispartofNuclear Physics B
dc.relation.ispartofjcr3.285
dc.relation.ispartofsjr1,744
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectConfinement
dc.subjectIntegrability
dc.subjectNon-perturbative methods
dc.subjectSolitons
dc.titleConfinement, solitons and the equivalence between the sine-Gordon and massive Thirring modelsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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