  Exploratory simulations of Bose-Fermi mixtures on the three-dimensional
optical lattice at finite temperature are performed by adopting the lattice
quantum chromodynamics technique. We analyze the bosonic superfluid transition
and its dependence on the strength of the boson-fermion coupling. The particle
densities and the pair occupancies are also studied to understand the effect of
the boson-fermion coupling to the microscopic properties of the system. Effect
of the induced fermion-fermion interaction by the boson density fluctuation is
clearly seen.
