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Duality Relations for Potts Correlation Functions

F. Y. Wu
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Abstract

Duality relations are obtained for correlation functions of the q-state Potts model on any planar lattice or graph using a simple graphical analysis. For the two-point correlation we show that the correlation length is precisely the surface tension of the dual model, generalizing a result known to hold for the Ising model. For the three-point correlation an explicit expression is obtained relating the correlation function to ratios of dual partition functions under fixed boundary conditions.

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F. Y. Wu. 1997-02-10. Duality Relations for Potts Correlation Functions. https://doi.org/10.1016/s0375-9601(97)00094-7

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