Yavors'kyj T. Quantitative theory of critical phenomena in weakly diluted and cubic ferromagnets

The method of field-theoretical renormalization-group approach along with the resummation of high orders of perturbation theory is applied to build the quantitative theory of critical phenomena in weakly diluted and cubic ferromagnets. For the three-dimensional weakly diluted quenched Ising model the critical exponents and the correction-to-scaling exponent were obtained on the base of analysis of different calculation schemes within the method. For the O(m)-symmetric weakly diluted quenched model the marginal order parameter dimension mc and the critical exponents were calculated as functions of space dimension. For the cubic model the marginal order parameter dimension and the critical exponents were calculated as functions of the order parameter dimension.