On the duality relation for correlation functions of the Potts model
Statistical Mechanics
2009-10-30 v3
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 M\"obius 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.
Keywords
Cite
@article{arxiv.cond-mat/9712045,
title = {On the duality relation for correlation functions of the Potts model},
author = {Wentao T. Lu and F. Y. Wu},
journal= {arXiv preprint arXiv:cond-mat/9712045},
year = {2009}
}
Comments
17 pages in RevTex, 5 figures, submitted to J. Phys. A