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...
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Using 2-loop renormalisation group calculations, we study a system of N twodimensional Potts models with random bonds coupled together by their local energy density. This model can be seen as a generalization of the random Ashkin-Teller model. We found that, depending on the sign of the coupling term, the universality class of the system in the presence of randomness is different. Under particu...
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We show how to couple two critical Q-state Potts models to yield a new self-dual critical point. We also present strong evidence of a dense critical phase near this critical point when the Potts models are defined in their completely packed loop representations. In the continuum limit, the new critical point is described by an SU(2) coset conformal field theory, while in this limit of the the c...
متن کاملMultiple Potts Models Coupled to Two-Dimensional Quantum Gravity
We perform Monte Carlo simulations using the Wolff cluster algorithm of multiple q = 2, 3, 4 state Potts models on dynamical phi-cubed graphs of spherical topology in order to investigate the c > 1 region of two-dimensional quantum gravity. Contrary to naive expectation we find no obvious signs of pathological behaviour for c > 1. We discuss the results in the light of suggestions that have bee...
متن کاملUniversality of the mean-field for the Potts model
Weconsider the Pottsmodelwith q colors on a sequence ofweighted graphs with adjacency matrices An , allowing for both positive and negative weights. Under a mild regularity condition on An we show that the mean-field prediction for the log partition function is asymptotically correct, whenever tr(An) = o(n). In particular, our results are applicable for the Ising and the Potts models on any seq...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2002
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(02)00213-4