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Elimination and recursions in the scattering equations

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dc.contributor.authorCardona, Carlos
dc.contributor.authorKalousios, Chrysostomos [UNESP]
dc.contributor.institutionNational Tsing-Hua University
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T17:01:45Z
dc.date.available2018-12-11T17:01:45Z
dc.date.issued2016-05-10
dc.description.abstractWe 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.en
dc.description.affiliationPhysics Division National Center for Theoretical Sciences National Tsing-Hua University
dc.description.affiliationICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP - Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271 - Bl. II
dc.description.affiliationUnespICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP - Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271 - Bl. II
dc.format.extent180-187
dc.identifierhttp://dx.doi.org/10.1016/j.physletb.2016.03.003
dc.identifier.citationPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 756, p. 180-187.
dc.identifier.doi10.1016/j.physletb.2016.03.003
dc.identifier.file2-s2.0-84960856154.pdf
dc.identifier.issn0370-2693
dc.identifier.scopus2-s2.0-84960856154
dc.identifier.urihttp://hdl.handle.net/11449/172684
dc.language.isoeng
dc.relation.ispartofPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
dc.relation.ispartofsjr2,336
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectElimination theory
dc.subjectScattering amplitudes
dc.subjectScattering equations
dc.titleElimination and recursions in the scattering equationsen
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), São Paulopt

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São Paulo - IFT - Instituto de Física Teórica