  The thermodynamic properties of the unitary Fermi gas (UFG) have recently
been measured to unprecedented accuracy at the MIT. In particular, these
measurements provide an improved understanding of the regime below T/eF ~ 0.20,
where a transition into a superfluid phase occurs. In light of this
development, we present an overview of state-of-the-art auxiliary field quantum
Monte Carlo (AFQMC) results for the UFG at finite temperature and compare them
with the MIT data for the energy, chemical potential, and density. These AFQMC
results have been obtained using methods based on the hybrid Monte Carlo (HMC)
algorithm, which was first introduced within the context of lattice QCD.
