Description:
We consider gauge/gravity duality with flavor for the finite-temperature field theory dual of the AdSSchwarzschild
black hole background with embedded D7-brane probes. In particular, we investigate
spectral functions at finite baryon density in the black hole phase. We determine the resonance frequencies
corresponding to meson-mass peaks as function of the quark mass over temperature ratio. We find that
these frequencies have a minimum for a finite value of the quark mass. If the quotient of quark mass and
temperature is increased further, the peaks move to larger frequencies. At the same time the peaks narrow,
in agreement with the formation of nearly stable vector meson states which exactly reproduce the mesonmass
spectrum found at zero temperature. We also calculate the diffusion coefficient, which has finite
value for all quark mass to temperature ratios, and exhibits a first-order phase transition. Finally we
consider an isospin chemical potential and find that the spectral functions display a resonance peak
splitting, similar to the isospin meson-mass splitting observed in effective QCD models.