Renormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models

Marco Picco; Pierre Pujol; Vladimir Dotsenko

Renormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models

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arxiv hep-th/9501017 v1 pith:4FBB7326 submitted 1995-01-07 hep-th cond-mathep-lat

Vladimir Dotsenko , Marco Picco , Pierre Pujol This is my paper · ORCID

classification hep-thcond-mathep-lat

keywords correlationcriticalisingmodelpottsexponentfunctionmodels

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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 doesn't change the critical exponent, and a shift in the critical exponent produced by randomness in the case of the Potts model. A comparison with numerical data is discussed briefly.

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