  We will review our understanding of non-abelian gauge theories in finite
physical volumes. It allows one in a reliable way to trace some of the
non-perturbative dynamics. The role of gauge fixing ambiguities related to
large field fluctuations is an important lesson that can be learned. The
hamiltonian formalism is the main tool, partly because semiclassical techniques
are simply inadequate once the coupling becomes strong. Using periodic boundary
conditions, continuum results can be compared to those on the lattice. Results
in a spherical finite volume will be discussed as well.
