Abstract
An upper bound is derived for the Z(2) vortex free energy in three-dimensional Z( N) lattice gauge models ( N even). This is proved that the inverse temperature β c( N) is unbounded as N goes to infinity, and to argue that it goes at least as √ N is it is proved that the three-dimensional SU( N) model confines static quarks as N → ∞ with β SU( N) fixed.
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