1998/07/30 by Yu. Holovatch, T. Yavors'kii · 1 citation
Physics and Astronomy · #cond-mat
paper · pdf · doi:10.1023/a:1023032307964
25 pages, latex, 1 latex picture, 5 eps-figures included
arxiv created 1998/07/30 · arxiv updated 2015/06/25
Within the massive field theoretical renormalization group approach the expressions for the beta- and gamma-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.