Mapping for BPS Solitons of Scalar Field Potentials in 1 + 1 Dimensions and Family of Solutions
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s13538-022-01220-6 http://hdl.handle.net/11449/247917 |
Resumo: | We analyze a method for solving a second-order nonlinear differential equation in 1 + 1 dimensions, applying it to some nonlinear systems. A particular solution for systems with this dimensionality is known as kink. In this study, we focus on revealing that any kink in 1 + 1 dimensions, accruing from models with one scalar field, can be straightforwardly obtained from a scalar field solution to a first-order linear differential equation with constant coefficients. This is accomplished by a suitable field transformation and we examine a few models and analyze how the introduction of an underlying scalar field can shed new light on models with one scalar field. In this work, in contrast to what is expected, we show that any kink in (1 + 1) dimensions, originating from models with just one scalar field, can be obtained from a master linear first-order differential equation using a convenient field transformation, which leads to a linear differential equation for the transformation function. A general approach is introduced and discussed, including a few subsequent cogent and important physical applications. This approach for certain values of parameters presents symmetry breaking like the λϕ4 model. The other parameter values correspond to a model with no minima, presenting kink configurations for the scalar field. In this study, we focus on revealing that any kink in (1 + 1) dimensions, accruing from models with one scalar field, can be obtained from the master linear first-order differential equation. This is accomplished through a convenient field transformation, obeying a linear differential equation for the transformation function. After analyzing a few models, we present a new one using the method developed in this work. |
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Repositório Institucional da UNESP |
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Mapping for BPS Solitons of Scalar Field Potentials in 1 + 1 Dimensions and Family of SolutionsDeformed kinksSolitonsSolution mappingWe analyze a method for solving a second-order nonlinear differential equation in 1 + 1 dimensions, applying it to some nonlinear systems. A particular solution for systems with this dimensionality is known as kink. In this study, we focus on revealing that any kink in 1 + 1 dimensions, accruing from models with one scalar field, can be straightforwardly obtained from a scalar field solution to a first-order linear differential equation with constant coefficients. This is accomplished by a suitable field transformation and we examine a few models and analyze how the introduction of an underlying scalar field can shed new light on models with one scalar field. In this work, in contrast to what is expected, we show that any kink in (1 + 1) dimensions, originating from models with just one scalar field, can be obtained from a master linear first-order differential equation using a convenient field transformation, which leads to a linear differential equation for the transformation function. A general approach is introduced and discussed, including a few subsequent cogent and important physical applications. This approach for certain values of parameters presents symmetry breaking like the λϕ4 model. The other parameter values correspond to a model with no minima, presenting kink configurations for the scalar field. In this study, we focus on revealing that any kink in (1 + 1) dimensions, accruing from models with one scalar field, can be obtained from the master linear first-order differential equation. This is accomplished through a convenient field transformation, obeying a linear differential equation for the transformation function. After analyzing a few models, we present a new one using the method developed in this work.Federal Technological University of Parana - UTFPR-GP, PRSao Paulo State University - Unes, Campus de Guaratinguetá, DFQ, Av. Dr. Ariberto Pereira da Cunha, 333, P.C: 205, SPFederal Technological University of Parana - UTFPR, PRSao Paulo State University - Unes, Campus de Guaratinguetá, DFQ, Av. Dr. Ariberto Pereira da Cunha, 333, P.C: 205, SPFederal Technological University of Parana - UTFPR-GPUniversidade Estadual Paulista (UNESP)Federal Technological University of Parana - UTFPRAmaro de Faria, A. C.de Souza Dutra, A. [UNESP]Dresseno, J. E.Lourenço, R. E.2023-07-29T13:29:26Z2023-07-29T13:29:26Z2023-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s13538-022-01220-6Brazilian Journal of Physics, v. 53, n. 1, 2023.1678-44480103-9733http://hdl.handle.net/11449/24791710.1007/s13538-022-01220-62-s2.0-85142264486Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBrazilian Journal of Physicsinfo:eu-repo/semantics/openAccess2023-07-29T13:29:26Zoai:repositorio.unesp.br:11449/247917Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-07-29T13:29:26Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Mapping for BPS Solitons of Scalar Field Potentials in 1 + 1 Dimensions and Family of Solutions |
title |
Mapping for BPS Solitons of Scalar Field Potentials in 1 + 1 Dimensions and Family of Solutions |
spellingShingle |
Mapping for BPS Solitons of Scalar Field Potentials in 1 + 1 Dimensions and Family of Solutions Amaro de Faria, A. C. Deformed kinks Solitons Solution mapping |
title_short |
Mapping for BPS Solitons of Scalar Field Potentials in 1 + 1 Dimensions and Family of Solutions |
title_full |
Mapping for BPS Solitons of Scalar Field Potentials in 1 + 1 Dimensions and Family of Solutions |
title_fullStr |
Mapping for BPS Solitons of Scalar Field Potentials in 1 + 1 Dimensions and Family of Solutions |
title_full_unstemmed |
Mapping for BPS Solitons of Scalar Field Potentials in 1 + 1 Dimensions and Family of Solutions |
title_sort |
Mapping for BPS Solitons of Scalar Field Potentials in 1 + 1 Dimensions and Family of Solutions |
author |
Amaro de Faria, A. C. |
author_facet |
Amaro de Faria, A. C. de Souza Dutra, A. [UNESP] Dresseno, J. E. Lourenço, R. E. |
author_role |
author |
author2 |
de Souza Dutra, A. [UNESP] Dresseno, J. E. Lourenço, R. E. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Federal Technological University of Parana - UTFPR-GP Universidade Estadual Paulista (UNESP) Federal Technological University of Parana - UTFPR |
dc.contributor.author.fl_str_mv |
Amaro de Faria, A. C. de Souza Dutra, A. [UNESP] Dresseno, J. E. Lourenço, R. E. |
dc.subject.por.fl_str_mv |
Deformed kinks Solitons Solution mapping |
topic |
Deformed kinks Solitons Solution mapping |
description |
We analyze a method for solving a second-order nonlinear differential equation in 1 + 1 dimensions, applying it to some nonlinear systems. A particular solution for systems with this dimensionality is known as kink. In this study, we focus on revealing that any kink in 1 + 1 dimensions, accruing from models with one scalar field, can be straightforwardly obtained from a scalar field solution to a first-order linear differential equation with constant coefficients. This is accomplished by a suitable field transformation and we examine a few models and analyze how the introduction of an underlying scalar field can shed new light on models with one scalar field. In this work, in contrast to what is expected, we show that any kink in (1 + 1) dimensions, originating from models with just one scalar field, can be obtained from a master linear first-order differential equation using a convenient field transformation, which leads to a linear differential equation for the transformation function. A general approach is introduced and discussed, including a few subsequent cogent and important physical applications. This approach for certain values of parameters presents symmetry breaking like the λϕ4 model. The other parameter values correspond to a model with no minima, presenting kink configurations for the scalar field. In this study, we focus on revealing that any kink in (1 + 1) dimensions, accruing from models with one scalar field, can be obtained from the master linear first-order differential equation. This is accomplished through a convenient field transformation, obeying a linear differential equation for the transformation function. After analyzing a few models, we present a new one using the method developed in this work. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-07-29T13:29:26Z 2023-07-29T13:29:26Z 2023-02-01 |
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/10.1007/s13538-022-01220-6 Brazilian Journal of Physics, v. 53, n. 1, 2023. 1678-4448 0103-9733 http://hdl.handle.net/11449/247917 10.1007/s13538-022-01220-6 2-s2.0-85142264486 |
url |
http://dx.doi.org/10.1007/s13538-022-01220-6 http://hdl.handle.net/11449/247917 |
identifier_str_mv |
Brazilian Journal of Physics, v. 53, n. 1, 2023. 1678-4448 0103-9733 10.1007/s13538-022-01220-6 2-s2.0-85142264486 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Brazilian Journal of Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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_ |
1799964440517410816 |