Heavy quark potential and QCD beta function from a deformed $Ad{S}_5$ model

We show that in a deformed ${\mathrm{A}\mathrm{d}\mathrm{S}}_5$ model with an explicit infrared cutoff included in the logarithmic correction $-c_0\log [(z_{IR}-z)\mathrm{/}{z}_{IR}]$, 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.