  This is a series of lectures on Monte Carlo results on the non-perturbative,
lattice formulation approach to quantum field theory. Emphasis is put on 4D
scalar quantum field theory. I discuss real space renormalization group, fixed
point properties and logarithmic corrections, partition function zeroes, the
triviality bound on the Higgs mass, finite size effects, Goldstone bosons and
chiral perturbation theory, and the determination of scattering phase shifts
for some scalar models.
