Dual S-matrix bootstrap. Part I. 2D theory

Detalhes bibliográficos
Autor(a) principal: Guerrieri, Andrea L. [UNESP]
Data de Publicação: 2020
Outros Autores: Homrich, Alexandre [UNESP], Vieira, Pedro [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/JHEP11(2020)084
http://hdl.handle.net/11449/206843
Resumo: Using duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We then explain how to optimize such bounds numerically, and prove that they provide the same bounds obtained from the usual primal formulation of the S-matrix Bootstrap, at least once convergence is attained from both perspectives. These techniques are then applied to the study of a gapped system with two stable particles of different masses, which serves as a toy model for bootstrapping popular physical systems.
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spelling Dual S-matrix bootstrap. Part I. 2D theoryField Theories in Lower DimensionsScattering AmplitudesUsing duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We then explain how to optimize such bounds numerically, and prove that they provide the same bounds obtained from the usual primal formulation of the S-matrix Bootstrap, at least once convergence is attained from both perspectives. These techniques are then applied to the study of a gapped system with two stable particles of different masses, which serves as a toy model for bootstrapping popular physical systems.ICTP South American Institute for Fundamental Research IFT-UNESPPerimeter Institute for Theoretical PhysicsWalter Burke Institute for Theoretical Physics California Institute of TechnologyICTP South American Institute for Fundamental Research IFT-UNESPUniversidade Estadual Paulista (Unesp)Perimeter Institute for Theoretical PhysicsCalifornia Institute of TechnologyGuerrieri, Andrea L. [UNESP]Homrich, Alexandre [UNESP]Vieira, Pedro [UNESP]2021-06-25T10:44:43Z2021-06-25T10:44:43Z2020-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/JHEP11(2020)084Journal of High Energy Physics, v. 2020, n. 11, 2020.1029-8479http://hdl.handle.net/11449/20684310.1007/JHEP11(2020)0842-s2.0-85096170237Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physicsinfo:eu-repo/semantics/openAccess2021-10-23T15:25:27Zoai:repositorio.unesp.br:11449/206843Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:14:57.901986Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Dual S-matrix bootstrap. Part I. 2D theory
title Dual S-matrix bootstrap. Part I. 2D theory
spellingShingle Dual S-matrix bootstrap. Part I. 2D theory
Guerrieri, Andrea L. [UNESP]
Field Theories in Lower Dimensions
Scattering Amplitudes
title_short Dual S-matrix bootstrap. Part I. 2D theory
title_full Dual S-matrix bootstrap. Part I. 2D theory
title_fullStr Dual S-matrix bootstrap. Part I. 2D theory
title_full_unstemmed Dual S-matrix bootstrap. Part I. 2D theory
title_sort Dual S-matrix bootstrap. Part I. 2D theory
author Guerrieri, Andrea L. [UNESP]
author_facet Guerrieri, Andrea L. [UNESP]
Homrich, Alexandre [UNESP]
Vieira, Pedro [UNESP]
author_role author
author2 Homrich, Alexandre [UNESP]
Vieira, Pedro [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Perimeter Institute for Theoretical Physics
California Institute of Technology
dc.contributor.author.fl_str_mv Guerrieri, Andrea L. [UNESP]
Homrich, Alexandre [UNESP]
Vieira, Pedro [UNESP]
dc.subject.por.fl_str_mv Field Theories in Lower Dimensions
Scattering Amplitudes
topic Field Theories in Lower Dimensions
Scattering Amplitudes
description Using duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We then explain how to optimize such bounds numerically, and prove that they provide the same bounds obtained from the usual primal formulation of the S-matrix Bootstrap, at least once convergence is attained from both perspectives. These techniques are then applied to the study of a gapped system with two stable particles of different masses, which serves as a toy model for bootstrapping popular physical systems.
publishDate 2020
dc.date.none.fl_str_mv 2020-11-01
2021-06-25T10:44:43Z
2021-06-25T10:44:43Z
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/JHEP11(2020)084
Journal of High Energy Physics, v. 2020, n. 11, 2020.
1029-8479
http://hdl.handle.net/11449/206843
10.1007/JHEP11(2020)084
2-s2.0-85096170237
url http://dx.doi.org/10.1007/JHEP11(2020)084
http://hdl.handle.net/11449/206843
identifier_str_mv Journal of High Energy Physics, v. 2020, n. 11, 2020.
1029-8479
10.1007/JHEP11(2020)084
2-s2.0-85096170237
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_ 1808129042098946048

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