Elimination and recursions in the scattering equations
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | |
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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Repositório Institucional da UNESP |
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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:29462024-08-05T15:22:09.452639Repositório 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_ |
1808128502967304192 |