Massless scattering at special kinematics as Jacobi polynomials
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
03/12/2014
03/12/2014
30/05/2014
|
Resumo |
We study the scattering equations recently proposed by Cachazo, He and Yuan in the special kinematics where their solutions can be identified with the zeros of the Jacobi polynomials. This allows for a non-trivial two-parameter family of kinematics. We present explicit and compact formulas for the n-gluon and n-graviton partial scattering amplitudes for our special kinematics in terms of Jacobi polynomials. We also provide alternative expressions in terms of gamma functions. We give an interpretation of the common reduced determinant appearing in the amplitudes as the product of the squares of the eigenfrequencies of small oscillations of a system whose equilibrium is the solutions of the scattering equations. |
Formato |
8 |
Identificador |
http://dx.doi.org/10.1088/1751-8113/47/21/215402 Journal Of Physics A-mathematical And Theoretical. Bristol: Iop Publishing Ltd, v. 47, n. 21, 8 p., 2014. 1751-8113 http://hdl.handle.net/11449/113056 10.1088/1751-8113/47/21/215402 WOS:000336718700014 |
Idioma(s) |
eng |
Publicador |
Iop Publishing Ltd |
Relação |
Journal of Physics A: Mathematical and Theoretical |
Direitos |
closedAccess |
Palavras-Chave | #scattering amplitudes #Jacobi polynomials #gluons #gravitons |
Tipo |
info:eu-repo/semantics/article |