Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions

Detalhes bibliográficos
Autor(a) principal: Nastase, Horatiu [UNESP]
Data de Publicação: 2021
Outros Autores: Sonnenschein, Jacob
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/JHEP04(2021)106
http://hdl.handle.net/11449/207606
Resumo: In this note we study soliton, breather and shockwave solutions in certain two dimensional field theories. These include: (i) Heisenberg’s model suggested originally to describe the scattering of high energy nucleons (ii) TT¯ deformations of certain canonical scalar field theories with a potential. We find explicit soliton solutions of these models with sine-Gordon and Higgs-type potentials. We prove that the TT¯ deformation of a theory of a given potential does not correct the mass of the soliton of the undeformed one. We further conjecture the form of breather solutions of these models. We show that certain TT¯ deformed actions admit shockwave solutions that generalize those of Heisenberg’s Lagrangian.
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spelling Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensionsField Theories in Lower DimensionsSolitons Monopoles and InstantonsIn this note we study soliton, breather and shockwave solutions in certain two dimensional field theories. These include: (i) Heisenberg’s model suggested originally to describe the scattering of high energy nucleons (ii) TT¯ deformations of certain canonical scalar field theories with a potential. We find explicit soliton solutions of these models with sine-Gordon and Higgs-type potentials. We prove that the TT¯ deformation of a theory of a given potential does not correct the mass of the soliton of the undeformed one. We further conjecture the form of breather solutions of these models. We show that certain TT¯ deformed actions admit shockwave solutions that generalize those of Heisenberg’s Lagrangian.Instituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. IISchool of Physics and Astronomy The Raymond and Beverly Sackler Faculty of Exact Sciences Tel Aviv UniversityInstituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. IIUniversidade Estadual Paulista (Unesp)Tel Aviv UniversityNastase, Horatiu [UNESP]Sonnenschein, Jacob2021-06-25T10:58:03Z2021-06-25T10:58:03Z2021-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/JHEP04(2021)106Journal of High Energy Physics, v. 2021, n. 4, 2021.1029-8479http://hdl.handle.net/11449/20760610.1007/JHEP04(2021)1062-s2.0-85104281352Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physicsinfo:eu-repo/semantics/openAccess2021-10-23T17:45:43Zoai:repositorio.unesp.br:11449/207606Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T17:45:43Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions
title Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions
spellingShingle Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions
Nastase, Horatiu [UNESP]
Field Theories in Lower Dimensions
Solitons Monopoles and Instantons
title_short Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions
title_full Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions
title_fullStr Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions
title_full_unstemmed Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions
title_sort Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions
author Nastase, Horatiu [UNESP]
author_facet Nastase, Horatiu [UNESP]
Sonnenschein, Jacob
author_role author
author2 Sonnenschein, Jacob
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Tel Aviv University
dc.contributor.author.fl_str_mv Nastase, Horatiu [UNESP]
Sonnenschein, Jacob
dc.subject.por.fl_str_mv Field Theories in Lower Dimensions
Solitons Monopoles and Instantons
topic Field Theories in Lower Dimensions
Solitons Monopoles and Instantons
description In this note we study soliton, breather and shockwave solutions in certain two dimensional field theories. These include: (i) Heisenberg’s model suggested originally to describe the scattering of high energy nucleons (ii) TT¯ deformations of certain canonical scalar field theories with a potential. We find explicit soliton solutions of these models with sine-Gordon and Higgs-type potentials. We prove that the TT¯ deformation of a theory of a given potential does not correct the mass of the soliton of the undeformed one. We further conjecture the form of breather solutions of these models. We show that certain TT¯ deformed actions admit shockwave solutions that generalize those of Heisenberg’s Lagrangian.
publishDate 2021
dc.date.none.fl_str_mv 2021-06-25T10:58:03Z
2021-06-25T10:58:03Z
2021-04-01
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/JHEP04(2021)106
Journal of High Energy Physics, v. 2021, n. 4, 2021.
1029-8479
http://hdl.handle.net/11449/207606
10.1007/JHEP04(2021)106
2-s2.0-85104281352
url http://dx.doi.org/10.1007/JHEP04(2021)106
http://hdl.handle.net/11449/207606
identifier_str_mv Journal of High Energy Physics, v. 2021, n. 4, 2021.
1029-8479
10.1007/JHEP04(2021)106
2-s2.0-85104281352
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of High Energy 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_ 1803047040430637056

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