Critical gravitational collapse: towards a holographic understanding of the Regge region

TL;DR

This paper explores a holographic link between high-energy QCD phenomena and critical gravitational collapse of a perfect fluid in higher dimensions, providing insights into the Regge limit and parton saturation.

Contribution

It proposes a novel holographic correspondence connecting critical gravitational collapse in higher dimensions with the Regge limit in QCD, supported by numerical analysis of the Choptuik exponent.

Findings

Computed Choptuik exponents in 5, 6, and 7 dimensions.

Established a holographic relation between gravitational collapse and QCD saturation.

Suggested a new framework for understanding high-energy scattering via gravity.

Abstract

We study the possible holographic connection between the Regge limit in QCD and critical gravitational collapse of a perfect fluid in higher dimensions. We begin by analyzing the problem of critical gravitational collapse of a perfect fluid in any number of dimensions and numerically compute the associated Choptuik exponent in d=5, 6 and 7 for a range of values of the speed of sound of the fluid. Using continuous self-similarity as guiding principle, a holographic correspondence between this process and the phenomenon of parton saturation in high-energy scattering in QCD is proposed. This holographic connection relates strong gravitational physics in the bulk with (nonsupersymmetric) QCD at weak coupling in four dimensions.