Adding flavour to the S-matrix bootstrap
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/JHEP12(2018)063 http://hdl.handle.net/11449/188503 |
Resumo: | We explore the S-matrices of gapped, unitary, Lorentz invariant quantum field theories with a global O(N) symmetry in 1+1 dimensions. We extremize various cubic and quartic couplings in the two-to-two scattering amplitudes of vector particles. Saturating these bounds, we encounter known integrable models with O(N) symmetry such as the O(N) Gross-Neveu and non-linear sigma models and the scattering of kinks in the sine-Gordon model. We also considered more general mass spectra for which we move away from the integrable realm. In this regime we find (numerically, through a large N analysis and sometimes even analytically) that the S-matrices saturating the various coupling bounds have an extremely rich structure exhibiting infinite resonances and virtual states in the various kinematical sheets. They are rather exotic in that they admit no particle production yet they do not obey Yang-Baxter equations. We discuss their physical (ir)relevance and speculate, based on some preliminary numerics, that they might be close to more realistic theories with particle production. |
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Repositório Institucional da UNESP |
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Adding flavour to the S-matrix bootstrapField Theories in Lower DimensionsIntegrable Field TheoriesNonperturbative EffectsScattering AmplitudesWe explore the S-matrices of gapped, unitary, Lorentz invariant quantum field theories with a global O(N) symmetry in 1+1 dimensions. We extremize various cubic and quartic couplings in the two-to-two scattering amplitudes of vector particles. Saturating these bounds, we encounter known integrable models with O(N) symmetry such as the O(N) Gross-Neveu and non-linear sigma models and the scattering of kinks in the sine-Gordon model. We also considered more general mass spectra for which we move away from the integrable realm. In this regime we find (numerically, through a large N analysis and sometimes even analytically) that the S-matrices saturating the various coupling bounds have an extremely rich structure exhibiting infinite resonances and virtual states in the various kinematical sheets. They are rather exotic in that they admit no particle production yet they do not obey Yang-Baxter equations. We discuss their physical (ir)relevance and speculate, based on some preliminary numerics, that they might be close to more realistic theories with particle production.Perimeter Institute for Theoretical PhysicsDepartment of Physics and Astronomy & Guelph-Waterloo Physics Institute University of WaterlooInstitut de Physique Théorique CEA SaclayInstituto de Física Teórica UNESP ICTP South American Institute for Fundamental ResearchInstituto de Física Teórica UNESP ICTP South American Institute for Fundamental ResearchPerimeter Institute for Theoretical PhysicsUniversity of WaterlooCEA SaclayUniversidade Estadual Paulista (Unesp)Córdova, LucíaVieira, Pedro [UNESP]2019-10-06T16:10:20Z2019-10-06T16:10:20Z2018-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/JHEP12(2018)063Journal of High Energy Physics, v. 2018, n. 12, 2018.1029-84791126-6708http://hdl.handle.net/11449/18850310.1007/JHEP12(2018)0632-s2.0-85058535397Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physicsinfo:eu-repo/semantics/openAccess2021-10-23T19:49:55Zoai:repositorio.unesp.br:11449/188503Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T19:49:55Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Adding flavour to the S-matrix bootstrap |
title |
Adding flavour to the S-matrix bootstrap |
spellingShingle |
Adding flavour to the S-matrix bootstrap Córdova, Lucía Field Theories in Lower Dimensions Integrable Field Theories Nonperturbative Effects Scattering Amplitudes |
title_short |
Adding flavour to the S-matrix bootstrap |
title_full |
Adding flavour to the S-matrix bootstrap |
title_fullStr |
Adding flavour to the S-matrix bootstrap |
title_full_unstemmed |
Adding flavour to the S-matrix bootstrap |
title_sort |
Adding flavour to the S-matrix bootstrap |
author |
Córdova, Lucía |
author_facet |
Córdova, Lucía Vieira, Pedro [UNESP] |
author_role |
author |
author2 |
Vieira, Pedro [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Perimeter Institute for Theoretical Physics University of Waterloo CEA Saclay Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Córdova, Lucía Vieira, Pedro [UNESP] |
dc.subject.por.fl_str_mv |
Field Theories in Lower Dimensions Integrable Field Theories Nonperturbative Effects Scattering Amplitudes |
topic |
Field Theories in Lower Dimensions Integrable Field Theories Nonperturbative Effects Scattering Amplitudes |
description |
We explore the S-matrices of gapped, unitary, Lorentz invariant quantum field theories with a global O(N) symmetry in 1+1 dimensions. We extremize various cubic and quartic couplings in the two-to-two scattering amplitudes of vector particles. Saturating these bounds, we encounter known integrable models with O(N) symmetry such as the O(N) Gross-Neveu and non-linear sigma models and the scattering of kinks in the sine-Gordon model. We also considered more general mass spectra for which we move away from the integrable realm. In this regime we find (numerically, through a large N analysis and sometimes even analytically) that the S-matrices saturating the various coupling bounds have an extremely rich structure exhibiting infinite resonances and virtual states in the various kinematical sheets. They are rather exotic in that they admit no particle production yet they do not obey Yang-Baxter equations. We discuss their physical (ir)relevance and speculate, based on some preliminary numerics, that they might be close to more realistic theories with particle production. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-01 2019-10-06T16:10:20Z 2019-10-06T16:10:20Z |
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/JHEP12(2018)063 Journal of High Energy Physics, v. 2018, n. 12, 2018. 1029-8479 1126-6708 http://hdl.handle.net/11449/188503 10.1007/JHEP12(2018)063 2-s2.0-85058535397 |
url |
http://dx.doi.org/10.1007/JHEP12(2018)063 http://hdl.handle.net/11449/188503 |
identifier_str_mv |
Journal of High Energy Physics, v. 2018, n. 12, 2018. 1029-8479 1126-6708 10.1007/JHEP12(2018)063 2-s2.0-85058535397 |
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_ |
1803649796039245824 |