Title: THE FIELD THEORETICAL APPROACH TO STUDY OF THE CRITICAL
BEHAVIOUR OF THE WEAKLY DILUTED QUENCHED ISING MODEL IN GENERAL DIMENSIONS.
Authors: Yu.Holovatch (Institute for Condensed Matter Physics of the Ukrainian Academy of Sciences 1 Svientsitskii St., UA-290011 Lviv-11, Ukraine), T.Yavors'kii (Department of Theoretical Physics, Ivan Franko Lviv State Univesity 12 Drahomanov str., UA-290005 Lviv-11, Ukraine)
Within the fixed-dimension field theoretical renormalization group approach the expressions for the beta- and gamma-functions of the anisotropic mn-vector model are obtained in the three-loop approximation. Critical exponents for the most interesting case of the weakly diluted quenched Ising model, as well as estimates for the marginal order parameter component number m_c are calculated as functions of d in the region 2<=d<4. Conclusions concerning the effectiveness of different resummation techniques are drawn. The results are compared with avaliable data of recent studies.
Comments: Figs. 7, Refs. 87, Tabs. 1.
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