Correlations equalities and some upper bounds for the coupling constant implying area decay of Wilson loop for Z3 lattice gauge theories
Abstract
Correlation identities are obtained for Z3 lattice gauge theory where the bonds of the plaquettes are decorated by generalized three-state Ising variables. Making use of correlation inequalities we obtain the area decay of the Wilson loop observable in a range of the coupling parameter larger than those obtained from mean field theory considerations.
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