  In the context of reviewing noncompact lattice gauge models at zero and
finite temperature we study in detail a contribution of the invariant measure
and the time-like plaquette configurations to correlation functions, analyze
the problem of the compactness of the potentials in respect to the confinement
and indicate the essential features to deal with the Wilson gauge theory in the
weak coupling region. A method for calculating an effective confining
noncompact model is also proposed.
