Key points are not available for this paper at this time.
Using Monte Carlo techniques, we evaluate the path integral for the four-dimensional lattice gauge theory with a Z₂ gauge group. The system exhibits a first-order transition. This is contrary to the implications of the approximate Migdal recursion relations but consistant with mean-field-theory arguments. Our "data" agree well with a low-temperature expansion and the exact duality between the high- and low-temperature phases.
Creutz et al. (Mon,) studied this question.