Study of cubic anisotropy in three dimensions by the scaling-field method

Abstract

Scaling‐field equations for the hypercubic N‐vector model are derived from Wilson’s exact renormalization‐group equation and applied to the determination of N_C*, the instability point of the isotropic fixed point as a function of N, and to the estimation of the critical point exponents associated with the isotropic, cubic, and decoupled Ising fixed points in hypercubic systems of three spatial dimensions.