Comment on ``Duality relations for Potts correlation functions''

Details Comment on ``Duality relations for Potts correlation functions'' Comment on ``Duality relations for Potts correlation functions''

1997-05-13

arxiv.org/abs/cond-mat/9705120v1

Phys. Lett. A 233, 489 (1997).

Physics

Condensed Matter

Statistical Mechanics

7 pages in RevTeX, no figures. Submitted to Phys. Lett. A

Scientific paper

In a recent paper by Wu (Phys. Lett. A 228, 43-47 (1997)) the three-point correlation of the q-state Potts model on a planar graph was related to ratios of dual partition functions under fixed boundary conditions. It was claimed that the method employed could straightforwardly be applied to higher correlations as well; this is however not true. By explicitly considering the four-point correlation we demonstrate how the appearence of non-well-nested connectivities invalidates the method.

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