Mobility edge and Black Hole Horizon

TL;DR

This paper proposes a connection between the mobility edge in the Dirac operator spectrum of QCD and the near-horizon region of black holes in holographic duals, supported by evidence from field theory and string theory.

Contribution

It introduces a novel conjecture linking spectral properties of QCD to black hole horizons via holography, supported by theoretical evidence.

Findings

Mobility edge in QCD spectrum relates to black hole horizon region.

Evidence from lattice QCD studies supports the conjecture.

Worldsheet theory of open strings provides additional support.

Abstract

We conjecture that the mobility edge in the 4D Euclidean Dirac operator spectrum in QCD in the deconfined phase found in the lattice studies corresponds to the near black hole (BH) horizon region in the holographic dual. We present some evidences both from the field theory side and from the worldsheet theory of long open string.