2017/10/11 by C. S. Lam, Lam, C. S.
Physics and Astronomy · Mathematics · #Relativity and Gravitational Theory #Algebraic and Geometric Analysis #History and Developments in Astronomy
paper · pdf · doi:10.48550/arxiv.1710.04302
Inspired by ancient astronomy, we propose a holographic description of perturbative scattering amplitudes, as integrals over a `celestial sphere'. Since Lorentz invariance, local interactions, and particle propagations all take place in a four-dimensional space-time, it is not trivial to accommodate them in a lower-dimensional `celestial sphere'. The details of this task will be discussed step by step, resulting in the Cachazo-He-Yuan (CHY) and similar scattering amplitudes, thereby providing them with a holographic non-string interpretation.