Y. Holovatch et T. Yavorskii, CRITICAL EXPONENTS OF THE DILUTED ISING-MODEL BETWEEN DIMENSIONS 2 AND 4, Journal of statistical physics, 92(5-6), 1998, pp. 785-808
Within the massive field-theoretic renormalization-group approach the
expressions for the beta and gamma functions of the anisotropic nut-ve
ctor model are obtained for general space dimension d in three-loop ap
proximation. Resumming corresponding asymptotic series, critical expon
ents for the case of the weakly diluted quenched Ising model (m = 1, n
= 0), as well as estimates for the marginal order parameter component
number m, of the weakly diluted quenched m-vector model, are calculat
ed as functions of d in the region 2 less than or equal to d < 4. Conc
lusions concerning the effectiveness of different resummation techniqu
es are drawn.