Critical Exponents of the Diluted Ising Model between Dimensions 2 and 4

Within the massive field-theoretic renormalization-group approach the expressions for the β and γ functions of the anisotropic mn-vector model are obtained for general space dimension d in three-loop approximation. Resumming corresponding asymptotic series, critical exponents 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 mc of the weakly diluted quenched m-vector model, are calculated as functions of d in the region 2 ≤ d < 4. Conclusions concerning the effectiveness of different resummation techniques are drawn.