98-09E

# 98-09E

By - Posted on 08 February 2012

UDC:
530.145
PACS:
64.60.Ak, 61.43.-j, 11.10.Gh

Critical exponents of the diluted Ising model between dimensions 2 and 4

Yu. Holovatch
T. Yavors'kii

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 $m_c$ of the weakly diluted quenched $m$-vector model are calculated as functions of $d$ in the region $2 \leq d <4$. Conclusions concerning the effectiveness of different resummation techniques are drawn.

Year:
1998
Pages:
27