  In this work we present first results on vector and axial-vector meson
spectral functions as obtained by applying the non-perturbative functional
renormalization group approach to an effective low-energy theory motivated by
the gauged linear sigma model. By using a recently proposed analytic
continuation method, we study the in-medium behavior of the spectral functions
of the $\rho$ and $a_1$ mesons in different regimes of the phase diagram. In
particular, we demonstrate explicitly how these spectral functions degenerate
at high temperatures as well as at large chemical potentials, as a consequence
of the restoration of chiral symmetry. In addition, we also compute the
momentum dependence of the $\rho$ and $a_1$ spectral functions and discuss the
various time-like and space-like processes that can occur.
