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On the duality relation for correlation functions of the Potts model

Wentao T. Lu·F. Y. Wu
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Abstract

We prove a recent conjecture on the duality relation for correlation functions of the Potts model for boundary spins of a planar lattice. Specifically, we deduce the explicit expression for the duality of the n-site correlation functions, and establish sum rule identities in the form of the Möbius inversion of a partially ordered set. The strategy of the proof is by first formulating the problem for the more general chiral Potts model. The extension of our consideration to the many-component Potts models is also given.

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Wentao T. Lu, F. Y. Wu. 1997-12-08. On the duality relation for correlation functions of the Potts model. https://doi.org/10.1088/0305-4470%2F31%2F12%2F008

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