Holographic Scattering Amplitudes

TL;DR

This paper proposes a holographic framework for perturbative scattering amplitudes, representing them as integrals over a celestial sphere, and connects this approach to known amplitude formulations like CHY, offering a new non-string holographic perspective.

Contribution

It introduces a holographic description of scattering amplitudes on a celestial sphere, bridging four-dimensional physics with lower-dimensional integral representations.

Findings

Derivation of scattering amplitudes as celestial sphere integrals

Connection to CHY and similar amplitude formulations

Provision of a holographic non-string interpretation

Abstract

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.