Study of compact abelian lattice gauge theories
  This is a review, intended for lattice nonspecialists, of the studies of the compact abelian gauge theories on the lattice performed by the Aachen lattice field theory group. We discuss in particular the pure compact QED and a U(1) lattice gauge theory with charged scalar and fermion fields in four and three dimensions. Our data indicate that these lattice theories might define some continuum field theories, or at least effective field theories with remarkable nonperturbative properties like confinement and dynamical mass generation. 
Jiri Jersak