Artículos de revistas
Elimination and recursions in the scattering equations
Fecha
2016-05-10Registro en:
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
Autor
National Tsing-Hua University
Universidade Estadual Paulista (Unesp)
Institución
Resumen
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.