On the duality relation for correlation functions of the Potts model

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.

17 pages in RevTex, 5 figures, submitted to J. Phys. A

References in corpus (2)

• New sum rule identities and duality relation for the Potts $n$-point correlation function
• Duality Relations for Potts Correlation Functions

Cited by in corpus (1)

• New correlation duality relations for the planar Potts model