  We give a further study on the improved soft-wall AdS/QCD model with two
flavors. The chiral transition behaviors are studied in the case of finite
chemical potential, with the chiral phase diagram obtained at zero quark mass.
The thermal spectral functions of the vector and axial-vector mesons are
calculated, and the in-medium melting properties of the mesons are
investigated. We find that the chiral transition behaviors and the meson
melting properties at finite chemical potential can be qualitatively described
by the improved soft-wall AdS/QCD model, except in the region of large chemical
potential. The reason for these inadequate descriptions may be that the
background geometry adopted in the model is not a dynamical one which is able
to produce the QCD equation of state. To give a quantitative description for
these low-energy phenomenologies, we shall consider a more consistent AdS/QCD
model which treats the background fields and the chiral fields on the same
footing.
