منابع مشابه
Duality relations for M coupled potts models
We establish explicit duality transformations for systems of M q-state Potts models coupled through their local energy density, generalizing known results for M=1,2,3. The M-dimensional space of coupling constants contains a self-dual submanifold of dimension D(M)=[M/2]. For the case M=4, the variation of the effective central charge along the self-dual surface is investigated by numerical tran...
متن کاملDuality relations for Potts correlation functions
l . I n t r o d u c t i o n It is now well-known [ 1,2] that the correlation length of the Ising model in two dimensions is precisely the surface tension of the dual lattice. It is also known by folklore (see, for example, Ref. [3] ) that a similar duality exists for the Potts model [4] . However, detailed discussion of the correlation duality for the Potts model has yet to appear in the litera...
متن کاملDuality Relations for Potts Correlation Functions
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 relat...
متن کاملComment on “ Duality relations for Potts correlation functions ”
In a recent paper by Wu [1] 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 appe...
متن کاملNew Correlation Duality Relations for the Planar Potts Model
We introduce a new method to generate duality relations for correlation functions of the Potts model on a planar graph. The method extends previously known results, by allowing the consideration of the correlation function for arbitrarily placed vertices on the graph. We show that generally it is linear combinations of correlation functions, not the individual correlations, that are related by ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2000
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.62.r1