  Numerical simulations have become an important tool to understand and predict
non-perturbative phenomena in particle physics. In this article we attempt to
present a general overview over the field. First, the basic concepts of lattice
gauge theories are described, including a discussion of currently used
algorithms and the reconstruction of continuum physics from lattice results. We
then proceed to present some results for QCD, both at low energies and at high
temperatures, as well as for the electro-weak sector of the standard model.

High Energy Physics - Lattice