Elimination and recursions in the scattering equations
Carregando...
Data
2016-05-10
Autores
Cardona, Carlos
Kalousios, Chrysostomos [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
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.
Descrição
Palavras-chave
Elimination theory, Scattering amplitudes, Scattering equations
Como citar
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 756, p. 180-187.