2000/06/30 by Michele Caselle, M. Caselle, F. Gliozzi +2
Mathematics · Physics and Astronomy · #Chiral Potts curve #Class (philosophy) #Cluster (spacecraft) #Combinatorics #Computer science #Correlation function (quantum field theory) #Function (biology) #Ising model #Mathematical analysis #Mathematics #Monotonic function #Observable #Partition (number theory) #Partition function (quantum field theory) #Physics #Potts model #Pure mathematics #Quantum many-body systems #Quantum mechanics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Topology (electrical circuits) #cond-mat #hep-lat
paper · pdf · doi:10.1088/0305-4470/34/3/302
published as J.Phys.A34:351-356,2001 · 6 pages, latex, enlarged version, accepted for publication in Journal of Physics A
arxiv created 2000/12/19 · openalex publication_date 2001/01/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We discuss a new class of identities between correlation functions which arise from a local 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 generalizes a class of analogous relations recently found in the Ising model.