Abstract
We obtain convergent multi-scale expansions for the one-and two-point correlation functions of the low temperature lattice classical N– vector spin model in d≥ 3 dimensions, N≥ 2. The Gibbs factor is taken as
where
,
,
,
are large and 0 < v≤ 1. In the thermodynamic and
limits, with h=e
1, and Δ≡∂★∂, the expansion gives
(spontaneous magnetization),
,
(Goldstone Bosons),
, and
, where
,
for some ρ > 0, and c
0 is aprecisely determined constant.