The self-consistent Ornstein-Zernike approach (SCOZA) developed earlie
r by the authors for the lattice gas and Ising model as well as simple
continuum fluids is extended to the D-vector spin model that includes
the classical rotator model (D=2), the classical Heisenberg model (D=
3), and the spherical-model limit (D-->infinity), in which the SCOZA b
ecomes exact. The approach entails first formulating an exact treatmen
t of the model that includes its response to the presence of a field H
with one primary component H-parallel to and a transverse component H
-perpendicular to.