  The chiral nucleon-meson model, previously applied to systems with equal
number of neutrons and protons, is extended to asymmetric nuclear matter.
Fluctuations are included in the framework of the functional renormalization
group. The equation of state for pure neutron matter is studied and compared to
recent advanced many-body calculations. The chiral condensate in neutron matter
is computed as a function of baryon density. It is found that, once
fluctuations are incorporated, the chiral restoration transition for pure
neutron matter is shifted to high densities, much beyond three times the
density of normal nuclear matter.
