97-162 Pfister C.-E., Velenik Y.

Random-Cluster Representation of the Ashkin-Teller Model (207K, uuencoded gzipped Postscript) Apr 3, 97

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Abstract. We show that a class of spin models, containing the Ashkin-Teller model, admits a generalized random-cluster (GRC) representation. Moreover we show that basic properties of the usual representation, such as FKG inequalities and comparison inequalities, still hold for this generalized random-cluster model. Some elementary consequences are given. We also consider the duality transformations in the spin representation and in the GRC model and show that they commute.

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