Celestial Regge theory

TL;DR

This paper introduces a new perspective on celestial correlation functions by defining a celestial dispersion relation and celestial Regge limit, linking bulk amplitude properties to celestial CFT data.

Contribution

It provides an alternative Mellin transform definition and establishes a celestial Regge theory framework connecting bulk amplitudes to celestial CFT data.

Findings

Defined celestial dispersion relation relating correlation functions to amplitude poles

Identified celestial Regge limit and associated CFT data

Linked bulk Regge behavior to celestial correlation functions

Abstract

Exploiting the analytic properties of the scattering amplitude, we provide an alternative but equivalent definition of the standard Mellin transform used to obtain celestial correlation functions. From this representation, we identify a celestial dispersion relation that relates the reduced correlation function to the poles and discontinuities of the bulk amplitude. By drawing an analogy with the standard CFT case, we define the celestial Regge limit and identify the relevant celestial CFT data in terms of the partial amplitudes governing the bulk Regge limit.