Correlation functions for the 2D random bonds Potts models
نویسندگان
چکیده
منابع مشابه
Correlation Functions for the 2d Random Bonds Potts Models
We study the spin-spin and energy-energy correlation functions for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group approach of the perturbation series around the conformal field theories representing the pure models. For the Ising model, we obtain a crossover in the amplitude for the correlation functions which d...
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We find the cross-over behavior for the spin-spin correlation function for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation approach of the perturbation series around the conformal field theories representing the pure models. We obtain a crossover in the amplitude for the correlation function for the Ising model which d...
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We compute the combined two and three loop order correction to the spin-spin correlation functions for the 2D Ising and q-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group approach for the perturbation series around the conformal field theories representing the pure models. We obtain corrections for the correlations functions which p...
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...
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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...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 1996
ISSN: 0920-5632
DOI: 10.1016/0920-5632(95)00624-9