Nuclear and Quark Matter with Fluctuations beyond LPA

We study the QCD phase diagram and its chiral phase transition in the low energy hadronic sector including quark and mesonic degrees of freedom at finite temperature and chemical potential. In a similar way the vicinity of the liquid-gas transition of nuclear matter is explored introducing nucleons as degrees of freedom. In our approach mesonic and fermionic fluctuations beyond mean-field are taken into account by means of the functional renormalization group (FRG). The systematic derivative expansion of the effective average action is taken beyond local potential approximation (LPA) including scale dependent wave function renormalization factors for both quarks/baryons and mesons, and the influence of this improved truncation on the first order critical lines is discussed.