The S-matrix bootstrap. Part III: higher dimensional amplitudes

Detalhes bibliográficos
Autor(a) principal: Paulos, Miguel F.
Data de Publicação: 2019
Outros Autores: Penedones, Joao, Toledo, Jonathan, van Rees, Balt C., Vieira, Pedro [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/JHEP12(2019)040
http://hdl.handle.net/11449/199803
Resumo: We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths relevant for the elastic scattering amplitude of two identical scalar particles. In the cases where our results can be compared with the older S-matrix literature they are in excellent agreement. We also extremize a cubic coupling in 2+1 dimensions which we can directly compare to a universal bound for a QFT in AdS. This paper generalizes our previous 1+1 dimensional results of [1] and [2].
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spelling The S-matrix bootstrap. Part III: higher dimensional amplitudesNonperturbative EffectsScattering AmplitudesSpace-Time SymmetriesWe consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths relevant for the elastic scattering amplitude of two identical scalar particles. In the cases where our results can be compared with the older S-matrix literature they are in excellent agreement. We also extremize a cubic coupling in 2+1 dimensions which we can directly compare to a universal bound for a QFT in AdS. This paper generalizes our previous 1+1 dimensional results of [1] and [2].Theoretical Physics Department CERNInstitute of Physics École Polytechnique Fédérale de Lausanne (EPFL)Centre for Particle Theory Department of Mathematical Sciences Durham University, Lower Mountjoy, Stockton RoadPerimeter Institute for Theoretical PhysicsICTP South American Institute for Fundamental Research IFT-UNESPICTP South American Institute for Fundamental Research IFT-UNESPCERNÉcole Polytechnique Fédérale de Lausanne (EPFL)Durham UniversityPerimeter Institute for Theoretical PhysicsUniversidade Estadual Paulista (Unesp)Paulos, Miguel F.Penedones, JoaoToledo, Jonathanvan Rees, Balt C.Vieira, Pedro [UNESP]2020-12-12T01:49:41Z2020-12-12T01:49:41Z2019-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/JHEP12(2019)040Journal of High Energy Physics, v. 2019, n. 12, 2019.1029-84791126-6708http://hdl.handle.net/11449/19980310.1007/JHEP12(2019)0402-s2.0-85076436344Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physicsinfo:eu-repo/semantics/openAccess2021-10-23T09:55:25Zoai:repositorio.unesp.br:11449/199803Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T09:55:25Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv The S-matrix bootstrap. Part III: higher dimensional amplitudes
title The S-matrix bootstrap. Part III: higher dimensional amplitudes
spellingShingle The S-matrix bootstrap. Part III: higher dimensional amplitudes
Paulos, Miguel F.
Nonperturbative Effects
Scattering Amplitudes
Space-Time Symmetries
title_short The S-matrix bootstrap. Part III: higher dimensional amplitudes
title_full The S-matrix bootstrap. Part III: higher dimensional amplitudes
title_fullStr The S-matrix bootstrap. Part III: higher dimensional amplitudes
title_full_unstemmed The S-matrix bootstrap. Part III: higher dimensional amplitudes
title_sort The S-matrix bootstrap. Part III: higher dimensional amplitudes
author Paulos, Miguel F.
author_facet Paulos, Miguel F.
Penedones, Joao
Toledo, Jonathan
van Rees, Balt C.
Vieira, Pedro [UNESP]
author_role author
author2 Penedones, Joao
Toledo, Jonathan
van Rees, Balt C.
Vieira, Pedro [UNESP]
author2_role author
author
author
author
dc.contributor.none.fl_str_mv CERN
École Polytechnique Fédérale de Lausanne (EPFL)
Durham University
Perimeter Institute for Theoretical Physics
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Paulos, Miguel F.
Penedones, Joao
Toledo, Jonathan
van Rees, Balt C.
Vieira, Pedro [UNESP]
dc.subject.por.fl_str_mv Nonperturbative Effects
Scattering Amplitudes
Space-Time Symmetries
topic Nonperturbative Effects
Scattering Amplitudes
Space-Time Symmetries
description We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths relevant for the elastic scattering amplitude of two identical scalar particles. In the cases where our results can be compared with the older S-matrix literature they are in excellent agreement. We also extremize a cubic coupling in 2+1 dimensions which we can directly compare to a universal bound for a QFT in AdS. This paper generalizes our previous 1+1 dimensional results of [1] and [2].
publishDate 2019
dc.date.none.fl_str_mv 2019-12-01
2020-12-12T01:49:41Z
2020-12-12T01:49:41Z
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(2019)040
Journal of High Energy Physics, v. 2019, n. 12, 2019.
1029-8479
1126-6708
http://hdl.handle.net/11449/199803
10.1007/JHEP12(2019)040
2-s2.0-85076436344
url http://dx.doi.org/10.1007/JHEP12(2019)040
http://hdl.handle.net/11449/199803
identifier_str_mv Journal of High Energy Physics, v. 2019, n. 12, 2019.
1029-8479
1126-6708
10.1007/JHEP12(2019)040
2-s2.0-85076436344
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
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