Black Holes, Newtonian Scattering and Conformal Field Theory

TL;DR

This paper explores the relationship between black hole scattering, Newtonian potential scattering, and conformal field theory, revealing that black hole gray-body factors resemble Newtonian scattering amplitudes in the weak-field limit, independent of supersymmetry.

Contribution

It demonstrates the functional similarity between black hole gray-body factors and Newtonian scattering amplitudes, linking gravitational scattering to conformal field theory without relying on supersymmetry.

Findings

Gray-body factors match Newtonian scattering amplitudes in the weak-field limit

The behavior is independent of supersymmetry

Connects black hole physics with conformal field theory

Abstract

We discuss non-relativistic scattering by a Newtonian potential. We show that the gray-body factors associated with scattering by a black hole exhibit the same functional dependence as scattering amplitudes in the Newtonian limit, which should be the weak-field limit of any quantum theory of gravity. This behavior arises independently of the presence of supersymmetry. The connection to two-dimensional conformal field theory is also discussed.