  We compute with lattice field theory the vector and axial static structure
factors of the unitary gas for arbitrary temperature above the superfluid
transition and for fugacities 0.1 < z < 1.0. Using the lattice formulation, we
calculate beyond the validity of the virial expansion, a commonly used
technique in many-body physics. We find qualitative differences in the behavior
of the structure factors at high fugacity compared to the predictions of the
virial expansion. Due to the large scattering length of neutrons, we expect the
unitary gas structure factors to approximate the structure factors of hot
neutron gases, and we therefore expect our calculations to be useful in
supernova simulations, where neutron gas structure factors are needed to
compute in-medium neutrino-neutron scattering rates.
