Random-cluster representation of the ashkin-teller model PFISTER

  title={Random-cluster representation of the ashkin-teller model PFISTER},
  author={C. E. Pfister and Yvan Velenik},
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. PFISTER, C. -E., VELENIK, Yvan… CONTINUE READING

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