  We present the first successful functional renormalization group(FRG)-aided
density-functional (DFT) calculation of the equation of state (EOS) of an
infinite nuclear matter (NM) in (1+1)-dimensions composed of spinless nucleons.
We give a formulation to describe infinite matters in which the 'flowing'
chemical potential is introduced to control the particle number during the
flow. The resultant saturation energy of the NM coincides with that obtained by
the Monte-Carlo method within a few percent. Our result demonstrates that the
FRG-aided DFT can be as powerful as any other methods in quantum many-body
theory.
