Classical versus quantum equivalence between sine-Gordon, Liouville and other solitons
Autor(a) principal: | |
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Data de Publicação: | 2004 |
Outros Autores: | |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s10582-004-9783-1 http://hdl.handle.net/11449/67915 |
Resumo: | In this work we present a mapping between the classical solutions of the sine-Gordon, Liouville, λφ4 and other kinks in 1+1 dimensions. This is done by using an invariant quantity which relates the models. It is easily shown that this procedure is equivalent to that used to get the so called deformed solitons, as proposed recently by Bazeia et al. [Phys. Rev. D. 66 (2002) 101701(R)]. The classical equivalence is explored in order to relate the solutions of the corresponding models and, as a consequence, try to get new information about them. We discuss also the difficulties and consequences which appear when one tries to extend the deformation in order to take into account the quantum version of the models. |
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Classical versus quantum equivalence between sine-Gordon, Liouville and other solitonsEquivalenceSolitonsIn this work we present a mapping between the classical solutions of the sine-Gordon, Liouville, λφ4 and other kinks in 1+1 dimensions. This is done by using an invariant quantity which relates the models. It is easily shown that this procedure is equivalent to that used to get the so called deformed solitons, as proposed recently by Bazeia et al. [Phys. Rev. D. 66 (2002) 101701(R)]. The classical equivalence is explored in order to relate the solutions of the corresponding models and, as a consequence, try to get new information about them. We discuss also the difficulties and consequences which appear when one tries to extend the deformation in order to take into account the quantum version of the models.UNESP Campus de Guaratinguetá DFQ, Av. Dr. Ariberto Pereira da C. 333, 12516 - 410 Guaratinguetá SPUNESP Campus de Guaratinguetá DFQ, Av. Dr. Ariberto Pereira da C. 333, 12516 - 410 Guaratinguetá SPUniversidade Estadual Paulista (Unesp)Dutra, Alvaro de Souza [UNESP]Amaro de Faria, A. C. [UNESP]2014-05-27T11:21:10Z2014-05-27T11:21:10Z2004-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject1229-1234http://dx.doi.org/10.1007/s10582-004-9783-1Czechoslovak Journal of Physics, v. 54, n. 11, p. 1229-1234, 2004.0011-4626http://hdl.handle.net/11449/6791510.1007/s10582-004-9783-1WOS:0002261085000132-s2.0-241444929946314084638411003Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCzechoslovak Journal of Physics0,123info:eu-repo/semantics/openAccess2021-10-23T21:44:09Zoai:repositorio.unesp.br:11449/67915Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:44:09Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Classical versus quantum equivalence between sine-Gordon, Liouville and other solitons |
title |
Classical versus quantum equivalence between sine-Gordon, Liouville and other solitons |
spellingShingle |
Classical versus quantum equivalence between sine-Gordon, Liouville and other solitons Dutra, Alvaro de Souza [UNESP] Equivalence Solitons |
title_short |
Classical versus quantum equivalence between sine-Gordon, Liouville and other solitons |
title_full |
Classical versus quantum equivalence between sine-Gordon, Liouville and other solitons |
title_fullStr |
Classical versus quantum equivalence between sine-Gordon, Liouville and other solitons |
title_full_unstemmed |
Classical versus quantum equivalence between sine-Gordon, Liouville and other solitons |
title_sort |
Classical versus quantum equivalence between sine-Gordon, Liouville and other solitons |
author |
Dutra, Alvaro de Souza [UNESP] |
author_facet |
Dutra, Alvaro de Souza [UNESP] Amaro de Faria, A. C. [UNESP] |
author_role |
author |
author2 |
Amaro de Faria, A. C. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Dutra, Alvaro de Souza [UNESP] Amaro de Faria, A. C. [UNESP] |
dc.subject.por.fl_str_mv |
Equivalence Solitons |
topic |
Equivalence Solitons |
description |
In this work we present a mapping between the classical solutions of the sine-Gordon, Liouville, λφ4 and other kinks in 1+1 dimensions. This is done by using an invariant quantity which relates the models. It is easily shown that this procedure is equivalent to that used to get the so called deformed solitons, as proposed recently by Bazeia et al. [Phys. Rev. D. 66 (2002) 101701(R)]. The classical equivalence is explored in order to relate the solutions of the corresponding models and, as a consequence, try to get new information about them. We discuss also the difficulties and consequences which appear when one tries to extend the deformation in order to take into account the quantum version of the models. |
publishDate |
2004 |
dc.date.none.fl_str_mv |
2004-11-01 2014-05-27T11:21:10Z 2014-05-27T11:21:10Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/s10582-004-9783-1 Czechoslovak Journal of Physics, v. 54, n. 11, p. 1229-1234, 2004. 0011-4626 http://hdl.handle.net/11449/67915 10.1007/s10582-004-9783-1 WOS:000226108500013 2-s2.0-24144492994 6314084638411003 |
url |
http://dx.doi.org/10.1007/s10582-004-9783-1 http://hdl.handle.net/11449/67915 |
identifier_str_mv |
Czechoslovak Journal of Physics, v. 54, n. 11, p. 1229-1234, 2004. 0011-4626 10.1007/s10582-004-9783-1 WOS:000226108500013 2-s2.0-24144492994 6314084638411003 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Czechoslovak Journal of Physics 0,123 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1229-1234 |
dc.source.none.fl_str_mv |
Scopus 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_ |
1799965101581664256 |