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Thermal operators and cluster topology in q-state Potts Model

M. Caselle·F. Gliozzi·S. Necco
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Abstract

We discuss a new class of identities between correlation functions which arise from a local Z_2 invariance of the partition function of the q-state Potts model on general graphs or lattices. Their common feature is to relate the thermal operators of the Potts model to some topological properties of the Fortuin-Kasteleyn clusters. In particular it turns out that any even correlation function can be expressed in terms of observables which probe the linking properties of these clusters. This generalises a class of analogous relations recently found in the Ising model.

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M. Caselle, F. Gliozzi, S. Necco. 2000-12-19. Thermal operators and cluster topology in q-state Potts Model. https://doi.org/10.1088/0305-4470%2F34%2F3%2F302

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