We study an improved AdS/QCD model at finite temperature and chemical potential. An ansatz for the $\beta$ function for the boundary theory allows for the derivation of a charged dilatonic black hole in bulk. The solution is asymptotically Reissner-Nordström-${\mathrm{AdS}}_5$ in the UV and ${\mathrm{AdS}}_2\times {\mathbb{R}}^3$ in the IR. We discuss the thermodynamical aspects of the solution. The fermionic susceptibilities are shown to deviate from the free fermionic limits at asymptotic temperatures despite the asymptotically free nature of the gauge coupling at the boundary. The Polyakov line and the temporal and spatial string tension dependence on both temperature and chemical potential are also discussed.

• Received 24 November 2010

DOI:https://doi.org/10.1103/PhysRevD.83.055016