Spin--spin critical point correlation functions for the 2D random bond Ising and Potts models

Details Spin--spin critical point correlation functions for the 2D random bond Ising and Potts models Spin--spin critical point correlation functions for the 2D random bond Ising and Potts models

1994-05-02

arxiv.org/abs/hep-th/9405003v1

Phys.Lett. B347 (1995) 113-119

Physics

High Energy Physics

High Energy Physics - Theory

10pp, latex, PAR--LPTHE 94/17

Scientific paper

10.1016/0370-2693(95)00035-J

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 produce crossover in the amplitude but don't change the critical exponent in the case of the Ising model and which produce a shift in the critical exponent, due to randomness, in the case of the Potts model. Comparison with numerical data is discussed briefly.

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