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We construct some AdS/QCD models by the systematic procedure of GKN. Thesemodels reflect three rather different asymptotics the gauge theory betafunctions approach at the infrared region, $\beta\propto-\lambda^2, -\lambda^3$and $\beta\propto-\lambda$, where $\lambda$ is the 't Hooft coupling constant.We then calculate the heavy quark potentials in these models by holographicmethods and find that they can more consistently fit the lattice data relativeto the usual models which do not include the renormalization group improvingeffects. But only use the lattice QCD heavy quark potentials as constrains, wecannot distinguish which kind of infrared asymptotics is the better one.

Heavy Quark Potentials in Some Renormalization Group Revised AdS/QCD Models