  We report results of fully non-perturbative, Path Integral Monte Carlo (PIMC)
calculations for dilute neutron matter. The neutron-neutron interaction in the
s channel is parameterized by the scattering length and the effective range. We
calculate the energy and the chemical potential as a function of temperature at
the density $\dens=0.003\fm^{-3}$. The critical temperature $\Tc$ for the
superfluid-normal phase transition is estimated from the finite size scaling of
the condensate fraction. At low temperatures we extract the spectral weight
function $A(p,\omega)$ from the imaginary time propagator using the methods of
maximum entropy and singular value decomposition. We determine the
quasiparticle spectrum, which can be accurately parameterized by three
parameters: an effective mass $m^*$, a mean-field potential $U$, and a gap
$\Delta$. Large value of $\Delta/\Tc$ indicates that the system is not a
BCS-type superfluid at low temperatures.
