Embedding Z(3) in SU(3)

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We consider the design of a non-local MonteCarlo algorithm for $SU(3)$ lattice systems according to the idea of {\em embedding} the degrees of freedom corresponding to the center of the group $Z(3)$. As a crucial ingredient to reach this goal, we present a practical implementation of a cluster algorithm for $Z(3)$ systems with general random pair interaction.
8 pages

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