Variational calculation of vacua in the Z(2) gauge theory
Abstract
We apply a variational technique which is a generalization of mean field theory of a local gauge theory in 2 + 1 dimensions. We reproduce the correct features of the gauge and matter Z(2) theory within the matterscreening phase. Using big enough clusters of links, we calculate the behaviour of a Wilson loop. Applying the method to the pure gauge theory, we obtain two phases characterized by order and disorder of local surface order parameters. The clusters calculation leads to a firstorder transition for the pure gauge theory and to a nonleading minimum for the gauge screening phase of the gauge with matter theory. Yet it can be employed to calculate the physical features inside all the phases of these theories.
 Publication:

Nuclear Physics B
 Pub Date:
 August 1981
 DOI:
 10.1016/05503213(81)905563
 Bibcode:
 1981NuPhB.190..237H