Elimination and recursions in the scattering equations

Detalhes bibliográficos
Autor(a) principal: Cardona, Carlos
Data de Publicação: 2016
Outros Autores: Kalousios, Chrysostomos [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.physletb.2016.03.003
http://hdl.handle.net/11449/172684
Resumo: We use the elimination theory to explicitly construct the (n-3)! order polynomial in one of the variables of the scattering equations. The answer can be given either in terms of a determinant of Sylvester type of dimension (n-3)! or a determinant of Bézout type of dimension (n-4)!. We present a recursive formula for the Sylvester determinant. Expansion of the determinants yields expressions in terms of Plücker coordinates. Elimination of the rest of the variables of the scattering equations is also presented.
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spelling Elimination and recursions in the scattering equationsElimination theoryScattering amplitudesScattering equationsWe use the elimination theory to explicitly construct the (n-3)! order polynomial in one of the variables of the scattering equations. The answer can be given either in terms of a determinant of Sylvester type of dimension (n-3)! or a determinant of Bézout type of dimension (n-4)!. We present a recursive formula for the Sylvester determinant. Expansion of the determinants yields expressions in terms of Plücker coordinates. Elimination of the rest of the variables of the scattering equations is also presented.Physics Division National Center for Theoretical Sciences National Tsing-Hua UniversityICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP - Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271 - Bl. IIICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP - Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271 - Bl. IINational Tsing-Hua UniversityUniversidade Estadual Paulista (Unesp)Cardona, CarlosKalousios, Chrysostomos [UNESP]2018-12-11T17:01:45Z2018-12-11T17:01:45Z2016-05-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article180-187application/pdfhttp://dx.doi.org/10.1016/j.physletb.2016.03.003Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 756, p. 180-187.0370-2693http://hdl.handle.net/11449/17268410.1016/j.physletb.2016.03.0032-s2.0-849608561542-s2.0-84960856154.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics2,336info:eu-repo/semantics/openAccess2023-10-19T06:08:35Zoai:repositorio.unesp.br:11449/172684Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-10-19T06:08:35Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Elimination and recursions in the scattering equations
title Elimination and recursions in the scattering equations
spellingShingle Elimination and recursions in the scattering equations
Cardona, Carlos
Elimination theory
Scattering amplitudes
Scattering equations
title_short Elimination and recursions in the scattering equations
title_full Elimination and recursions in the scattering equations
title_fullStr Elimination and recursions in the scattering equations
title_full_unstemmed Elimination and recursions in the scattering equations
title_sort Elimination and recursions in the scattering equations
author Cardona, Carlos
author_facet Cardona, Carlos
Kalousios, Chrysostomos [UNESP]
author_role author
author2 Kalousios, Chrysostomos [UNESP]
author2_role author
dc.contributor.none.fl_str_mv National Tsing-Hua University
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Cardona, Carlos
Kalousios, Chrysostomos [UNESP]
dc.subject.por.fl_str_mv Elimination theory
Scattering amplitudes
Scattering equations
topic Elimination theory
Scattering amplitudes
Scattering equations
description We use the elimination theory to explicitly construct the (n-3)! order polynomial in one of the variables of the scattering equations. The answer can be given either in terms of a determinant of Sylvester type of dimension (n-3)! or a determinant of Bézout type of dimension (n-4)!. We present a recursive formula for the Sylvester determinant. Expansion of the determinants yields expressions in terms of Plücker coordinates. Elimination of the rest of the variables of the scattering equations is also presented.
publishDate 2016
dc.date.none.fl_str_mv 2016-05-10
2018-12-11T17:01:45Z
2018-12-11T17:01:45Z
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/10.1016/j.physletb.2016.03.003
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 756, p. 180-187.
0370-2693
http://hdl.handle.net/11449/172684
10.1016/j.physletb.2016.03.003
2-s2.0-84960856154
2-s2.0-84960856154.pdf
url http://dx.doi.org/10.1016/j.physletb.2016.03.003
http://hdl.handle.net/11449/172684
identifier_str_mv Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 756, p. 180-187.
0370-2693
10.1016/j.physletb.2016.03.003
2-s2.0-84960856154
2-s2.0-84960856154.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
2,336
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 180-187
application/pdf
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_ 1803649462315253760

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