Duality Relations for Potts Correlation Functions
Statistical Mechanics
2009-10-30 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/9702075,
title = {Duality Relations for Potts Correlation Functions},
author = {F. Y. Wu},
journal= {arXiv preprint arXiv:cond-mat/9702075},
year = {2009}
}
Comments
REVTex with 2 ps figures, to appear in Physics Letters A