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We present recent results on in-medium spectral functions of vector andaxial-vector mesons, the electromagnetic (EM) spectral function and dileptonrates using the Functional Renormalization Group (FRG) approach. Our method isbased on an analytic continuation procedure that allows us to calculatereal-time quantities like spectral functions at finite temperature and chemicalpotential. As an effective low-energy model for Quantum Chromodynamics (QCD) weuse an extended linear-sigma model including quarks where (axial-)vector mesonsas well as the photon are introduced as gauge bosons. In particular, it isshown how the $\rho$ and the $a_1$ spectral function become degenerate at hightemperatures or chemical potentials due to the restoration of chiral symmetry.Preliminary results for the EM spectral function and the dilepton productionrate are discussed with a focus on the possibility to identify signatures ofthe chiral crossover and the critical endpoint (CEP) in the QCD phase diagram.

In-medium spectral functions and dilepton rates with the Functional Renormalization Group