Oa. Borisenko et al., PHASE-STRUCTURE AND CONFINEMENT PROPERTIES OF NONCOMPACT GAUGE-THEORIES - Z(N) WILSON LOOP AND EFFECTIVE NONCOMPACT MODEL, Physics of atomic nuclei, 60(10), 1997, pp. 1741-1753
An approach to studying lattice gauge models in the weak-coupling regi
on is proposed. Conceptually, this approach is based on the crucial ro
le of original Z(N) symmetry and of the invariant gauge-group measure.
As an example, an effective model from the compact Wilson formulation
of SU(2) gauge theory is calculated in d = 3 dimensions at zero tempe
rature. The confining properties and the phase structure of the effect
ive model are studied in detail.