Scaling Phenomena in Gravity from QCD

TL;DR

This paper uses holographic principles to connect critical phenomena in five-dimensional black hole formation with the saturation behavior of four-dimensional gauge theories, revealing a surprising numerical agreement.

Contribution

It establishes a novel holographic link between gravitational critical exponents and gauge theory saturation exponents, providing new insights into strongly coupled systems.

Findings

The Choptuik critical exponent in 5D black holes is approximately 0.412.

The BFKL saturation exponent in 4D Yang-Mills theory is approximately 0.410.

A numerical agreement suggests a deep holographic connection between gravity and gauge theories.

Abstract

We present holographic arguments to predict properties of strongly coupled gravitational systems in terms of weakly coupled gauge theories. In particular we relate the latest computed value for the Choptuik critical exponent in black hole formation in five dimensions, \gamma_{5D}=0.412 \pm 1%, to the saturation exponent of four-dimensional Yang-Mills theory in the Regge limit, \gamma_{BFKL}\simeq 0.410.