  We present a method to obtain spectral functions at finite temperature and
density from the Functional Renormalization Group. Our method is based on a
thermodynamically consistent truncation of the flow equations for 2-point
functions with analytically continued frequency components in the originally
Euclidean external momenta. For the uniqueness of this continuation at finite
temperature we furthermore implement the physical Baym-Mermin boundary
conditions. We demonstrate the feasibility of the method by calculating the
mesonic spectral functions in the quark-meson model along the temperature axis
of the phase diagram, and at finite quark chemical potential along the
fixed-temperature line that crosses the critical endpoint of the model.
