Elimination and recursions in the scattering equations

dc.contributorNational Tsing-Hua University
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T17:01:45Z
dc.date.available2018-12-11T17:01:45Z
dc.date.created2018-12-11T17:01:45Z
dc.date.issued2016-05-10
dc.identifierPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 756, p. 180-187.
dc.identifier0370-2693
dc.identifierhttp://hdl.handle.net/11449/172684
dc.identifier10.1016/j.physletb.2016.03.003
dc.identifier2-s2.0-84960856154
dc.identifier2-s2.0-84960856154.pdf
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.
dc.languageeng
dc.relationPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
dc.relation2,336
dc.rightsAcesso aberto
dc.sourceScopus
dc.subjectElimination theory
dc.subjectScattering amplitudes
dc.subjectScattering equations
dc.titleElimination and recursions in the scattering equations
dc.typeArtículos de revistas


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