Equivalence of the AdS-Metric and the QCD Running Coupling

TL;DR

This paper demonstrates how modifying the AdS metric using the QCD running coupling leads to a string theory model that accurately reproduces key features of quark-antiquark interactions, bridging holography and QCD.

Contribution

It introduces a novel approach to incorporate the QCD running coupling into the AdS/CFT framework, establishing an equivalence that improves the modeling of QCD potentials.

Findings

Good agreement with Coulombic potential

Accurate confinement potential modeling

Validates the modified AdS/QCD approach

Abstract

We use the functional form of the QCD running coupling to modify the conformal metric in AdS/CFT mapping the fifth-dimensional z-coordinate to the energy scale in the four-dimensional QCD. The resulting type-0 string theory in five dimensions is solved with the Nambu-Goto action giving good agreement with the Coulombic and confinement $Q \bar Q$ potential.