Fontes L.R.G.
An Ordered Phase with Slow Decay of Correlations
in Continuum 1/r^2 Ising Models
(45K, LaTeX)

ABSTRACT.     For continuum 1/r^2 Ising models, we prove that the critical
value of the long range coupling constant (inverse temperature),
above which an ordered phase occurs (for strong short range cut-
off), is exactly 1. This leads to a proof of the existence of an
ordered phase with slow decay of correlations. Our arguments in-
volve comparisons between continuum and discrete Ising models, 
including (quenched and annealed) site diluted models, which may
be of independent interest.