Duality Relations for Potts Correlation Functions

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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REVTex with 2 ps figures, to appear in Physics Letters A

Scientific paper

10.1016/S0375-9601(97)00094-7

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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