Heavy quark potential and QCD beta function from a deformed $AdS_5$ model

TL;DR

This paper demonstrates that a deformed AdS_5 model with an infrared cutoff accurately reproduces the heavy quark potential and QCD beta-function, providing insights into the holographic dual of QCD.

Contribution

It introduces a specific deformation of AdS_5 with an IR cutoff that fits the heavy quark potential and matches the QCD beta-function at two loops, advancing holographic QCD models.

Findings

Heavy quark potential fits well with the model.

QCD beta-function is reasonably matched at 2-loop level.

Dual dilaton potential is bounded from below in the IR.

Abstract

We show that in a deformed ${\rm AdS}_5$ model with an explicit infrared cutoff included in the logarithmic correction $-c_0\log[(z_{IR}-z)/z_{IR}]$, the heavy quark Cornell potential can be fitted very well, the corresponding beta-function agrees with the QCD beta-function at 2-loop level reasonably well, and its dual dilaton potential is bounded from below in infrared. The results are compared with those in the Andreev-Zakharov model and the Pirner-Galow model.