Duality Relations for Potts Correlation Functions

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.

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

Cited by in corpus (8)

• Critical Behaviour of Random Bond Potts Models: A Transfer Matrix Study
• Potts q-color field theory and scaling random cluster model
• New sum rule identities and duality relation for the Potts $n$-point correlation function
• Crossing probability and number of crossing clusters in off-critical percolation
• New correlation duality relations for the planar Potts model
• On the duality relation for correlation functions of the Potts model
• On the rooted Tutte polynomial
• A challenge in enumerative combinatorics: The graph of contribution