QCD-Gravity double-copy in the Regge regime: shock wave propagators

TL;DR

This paper establishes a double-copy relation between gluon and graviton shock wave propagators in high-energy collisions, advancing understanding of radiation spectra in black hole encounters.

Contribution

It computes gravitational shock wave propagators in general relativity and shows their double-copy relation to gluon shock wave propagators, extending previous work.

Findings

Gravitational shock wave propagators obey a double-copy relation to gluon shock wave propagators.

Results are key for a renormalization group approach to high-frequency radiation in black hole encounters.

Provides a theoretical framework linking gauge theory and gravity in shock wave collisions.

Abstract

In recent work, we demonstrated a double-copy relation between inclusive gluon radiation in shock wave collisions of ultrarelativistic nuclei and inclusive graviton radiation in trans-Planckian gravitational shock wave collisions. We compute here the corresponding gravitational shock wave propagators in general relativity and demonstrate that they too obey a double copy relation to gluon shock wave propagators computed previously. These results provide key input in a renormalization group approach towards computing the high frequency radiation spectrum in close black hole encounters.