Improved AdS/QCD Model with Matter

TL;DR

This paper develops an improved AdS/QCD model incorporating finite temperature and chemical potential, deriving a charged dilatonic black hole solution that captures key thermodynamic and confinement properties of the boundary theory.

Contribution

It introduces a novel beta-function Ansatz enabling the derivation of a charged black hole in AdS/QCD, connecting IR and UV behaviors, and analyzing thermodynamics and susceptibilities.

Findings

Fermionic susceptibilities deviate from free fermion limits at high temperatures.

Polyakov line and string tensions depend on temperature and chemical potential.

The model captures IR and UV asymptotics of the boundary theory.

Abstract

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 RN-AdS in the UV and AdS2 * R3 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, the temporal and spatial string tensions dependence on both temperature and chemical potential are also discussed.