- 97-162 Pfister C.-E., Velenik Y.
- Random-Cluster Representation of the Ashkin-Teller Model
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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