  Functional renormalization group (FRG) is an exact method for taking into
account the effect of quantum fluctuations in the effective action of the
system. The FRG method applied to effective theories of nuclear matter yields
equation of state which incorporates quantum fluctuations of the fields. Using
the local potential approximation (LPA) the equation of state for Walecka-type
models of nuclear matter under extreme conditions could be determined. These
models can be tested by solving the corresponding Tolman--Oppenheimer--Volkov
(TOV) equations and investigating the properties (mass and radius) of the
corresponding compact star models. Here, we present the first steps on this
way, we obtained a Maxwell construction within the FRG-based framework using a
Walecka-type Lagrangian.
