Scaling Phenomena in Gravity from QCD

TL;DR

This paper investigates a holographic duality between five‑dimensional gravitational critical phenomena and four‑dimensional gauge dynamics in the Regge limit. Using the BPST holographic framework, it computes $\gamma_{BFKL}=0.409552$ from a saddle‑point analysis of the BFKL kernel and relates it to the five‑dimensional Choptuik exponent $\gamma_{5D}=0.412 \pm 1\%$. The work identifies the AdS$_5$ Laplacian for metric perturbations as the bulk counterpart to the pomeron Hamiltonian, providing a concrete link between weak‑coupling QCD dynamics and strong‑gravity criticality. The results support holographic duality in a regime accessible to weakly coupled gauge theory and suggest a deep correspondence between saturation physics and black‑hole threshold phenomena with potential implications for unitarity and high‑energy gravity.

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, γ_{5D}=0.412 \pm 1%, to the saturation exponent of four-dimensional Yang-Mills theory in the Regge limit, γ_{BFKL}\simeq 0.410.