Thermal operators and cluster topology in q-state Potts Model

Details Thermal operators and cluster topology in q-state Potts Model Thermal operators and cluster topology in q-state Potts Model

2000-06-13

arxiv.org/abs/cond-mat/0006204v3

J.Phys.A34:351-356,2001

Physics

Condensed Matter

6 pages, latex, enlarged version, accepted for publication in Journal of Physics A

Scientific paper

10.1088/0305-4470/34/3/302

We discuss a new class of identities between correlation functions which arise from a local Z_2 invariance of the partition function of the q-state Potts model on general graphs or lattices. Their common feature is to relate the thermal operators of the Potts model to some topological properties of the Fortuin-Kasteleyn clusters. In particular it turns out that any even correlation function can be expressed in terms of observables which probe the linking properties of these clusters. This generalises a class of analogous relations recently found in the Ising model.

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