Semiclassical scaling functions of sine-Gordon model
Autor(a) principal: | |
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Data de Publicação: | 2004 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.nuclphysb.2004.08.004 http://hdl.handle.net/11449/23937 |
Resumo: | We 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. |
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Semiclassical scaling functions of sine-Gordon modelkink solutions in finite volumescaling functionsspectral density in finite volumeWe 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.Sch Adv Int Studies, I-34100 Trieste, ItalyIst Nazl Fis Nucl, Sez Trieste, Trieste, ItalyUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, BrazilElsevier B.V.Sch Adv Int StudiesIst Nazl Fis NuclUniversidade Estadual Paulista (Unesp)Mussardo, G.Riva, VSotkov, G.2014-05-20T14:08:13Z2014-05-20T14:08:13Z2004-11-08info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article545-574application/pdfhttp://dx.doi.org/10.1016/j.nuclphysb.2004.08.004Nuclear Physics B. Amsterdam: Elsevier B.V., v. 699, n. 3, p. 545-574, 2004.0550-3213http://hdl.handle.net/11449/2393710.1016/j.nuclphysb.2004.08.004WOS:000224657200004WOS000224657200004.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNuclear Physics B3.2851,744info:eu-repo/semantics/openAccess2023-12-30T06:15:10Zoai:repositorio.unesp.br:11449/23937Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:39:07.741680Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Semiclassical scaling functions of sine-Gordon model |
title |
Semiclassical scaling functions of sine-Gordon model |
spellingShingle |
Semiclassical scaling functions of sine-Gordon model Mussardo, G. kink solutions in finite volume scaling functions spectral density in finite volume |
title_short |
Semiclassical scaling functions of sine-Gordon model |
title_full |
Semiclassical scaling functions of sine-Gordon model |
title_fullStr |
Semiclassical scaling functions of sine-Gordon model |
title_full_unstemmed |
Semiclassical scaling functions of sine-Gordon model |
title_sort |
Semiclassical scaling functions of sine-Gordon model |
author |
Mussardo, G. |
author_facet |
Mussardo, G. Riva, V Sotkov, G. |
author_role |
author |
author2 |
Riva, V Sotkov, G. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Sch Adv Int Studies Ist Nazl Fis Nucl Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Mussardo, G. Riva, V Sotkov, G. |
dc.subject.por.fl_str_mv |
kink solutions in finite volume scaling functions spectral density in finite volume |
topic |
kink solutions in finite volume scaling functions spectral density in finite volume |
description |
We 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. |
publishDate |
2004 |
dc.date.none.fl_str_mv |
2004-11-08 2014-05-20T14:08:13Z 2014-05-20T14:08:13Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1016/j.nuclphysb.2004.08.004 Nuclear Physics B. Amsterdam: Elsevier B.V., v. 699, n. 3, p. 545-574, 2004. 0550-3213 http://hdl.handle.net/11449/23937 10.1016/j.nuclphysb.2004.08.004 WOS:000224657200004 WOS000224657200004.pdf |
url |
http://dx.doi.org/10.1016/j.nuclphysb.2004.08.004 http://hdl.handle.net/11449/23937 |
identifier_str_mv |
Nuclear Physics B. Amsterdam: Elsevier B.V., v. 699, n. 3, p. 545-574, 2004. 0550-3213 10.1016/j.nuclphysb.2004.08.004 WOS:000224657200004 WOS000224657200004.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Nuclear Physics B 3.285 1,744 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
545-574 application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier B.V. |
publisher.none.fl_str_mv |
Elsevier B.V. |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129344068911104 |