Phenomenology of AdS/QCD and Its Gravity Dual

TL;DR

This paper constructs a gravity dual model for AdS/QCD, analyzing its gauge coupling and heavy quark potential, showing good agreement with QCD in certain regimes despite some differences at extreme UV scales.

Contribution

It develops a dilaton potential for the AdS/QCD gravity dual that reproduces key features of QCD, including the heavy quark potential, with improved UV behavior.

Findings

Gravity dual yields a meaningful gauge coupling between charmonium and bottomonium masses.

The model's potential aligns well with NNLO QCD potential at short distances.

Differences from perturbative QCD appear at leading order in the potential.

Abstract

We construct the dilaton potential in the gravity dual theory of AdS/QCD for the warp factor of Refs.{1,2}. Using this AdS_5-metric with properties similar to QCD, we find that the gravity dual leads to a meaningful gauge coupling in the region between the charmonium and bottonium mass, but differs slightly from QCD in the extreme UV. When we fix the ultraviolet behavior in accord with the beta-function, we can obtain good agreement with the overall heavy quark-antiquark potential. Although the leading order proportional to -\alpha^{4/3}/r differs from perturbative QCD, the full potential agrees quite well with the short distance QCD potential in NNLO.