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Semiclassical scaling functions of sine-Gordon model

dc.contributor.authorMussardo, G.
dc.contributor.authorRiva, V
dc.contributor.authorSotkov, G.
dc.contributor.institutionSch Adv Int Studies
dc.contributor.institutionIst Nazl Fis Nucl
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:08:13Z
dc.date.available2014-05-20T14:08:13Z
dc.date.issued2004-11-08
dc.description.abstractWe present an analytic study of the finite size effects in sine-Gordon model, based on the semi-classical quantization of an appropriate kink background defined on a cylindrical geometry. The quasi-periodic kink is realized as an elliptic function with its real period related to the size of the system. The stability equation for the small quantum fluctuations around this classical background is of Lame type and the corresponding energy eigenvalues are selected inside the allowed bands by imposing periodic boundary conditions. We derive analytical expressions for the ground state and excited states scaling functions, which provide an explicit description of the flow between the IR and UV regimes of the model. Finally, the semiclassical form factors and two-point functions of the basic field and of the energy operator are obtained, completing the semiclassical quantization of the sine-Gordon model on the cylinder. (C) 2004 Elsevier B.V. All rights reserved.en
dc.description.affiliationSch Adv Int Studies, I-34100 Trieste, Italy
dc.description.affiliationIst Nazl Fis Nucl, Sez Trieste, Trieste, Italy
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.format.extent545-574
dc.identifierhttp://dx.doi.org/10.1016/j.nuclphysb.2004.08.004
dc.identifier.citationNuclear Physics B. Amsterdam: Elsevier B.V., v. 699, n. 3, p. 545-574, 2004.
dc.identifier.doi10.1016/j.nuclphysb.2004.08.004
dc.identifier.fileWOS000224657200004.pdf
dc.identifier.issn0550-3213
dc.identifier.urihttp://hdl.handle.net/11449/23937
dc.identifier.wosWOS:000224657200004
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofNuclear Physics B
dc.relation.ispartofjcr3.285
dc.relation.ispartofsjr1,744
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectkink solutions in finite volumept
dc.subjectscaling functionspt
dc.subjectspectral density in finite volumept
dc.titleSemiclassical scaling functions of sine-Gordon modelen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), São Paulopt

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