Dual S-matrix bootstrap. Part I. 2D theory
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , |
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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Repositório Institucional da UNESP |
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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 |