  The equations obeyed by the vacuum expectation value of the Wilson loop of
Abelian gauge theories are considered from the point of view of the loop-space.
An approximative scheme for studying these loop-equations for lattice Maxwell
theory is presented. The approximation leads to a partial difference equation
in the area and length variables of the loop, and certain physically motivated
ansatz is seen to reproduce the mean field results from a geometrical
perspective.

High Energy Physics - Theory