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arxiv: cond-mat/9705120 · v1 · submitted 1997-05-13 · ❄️ cond-mat.stat-mech

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

classification ❄️ cond-mat.stat-mech
keywords correlationfunctionsmethodpottsappearenceappliedboundaryclaimed
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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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