V. Dotsenko et al., SPIN-SPIN CRITICAL-POINT CORRELATION-FUNCTIONS FOR THE 2D RANDOM BONDISING AND POTTS MODELS, Physics letters. Section B, 347(1-2), 1995, pp. 113-119
We compute the combined two and three loop order correction to the spi
n-spin correlation functions for the 2D Ising and q-states Potts model
with random bonds at the critical point. The procedure employed is th
e renormalisation group approach for the perturbation series around th
e conformal field theories representing the pure models. We obtain cor
rections for the correlations functions which produce crossover in the
amplitude but don't change the critical exponent in the case of the I
sing 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.