Phenomenology of AdS/QCD and Its Gravity Dual

Understand

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.