 9128 Fontes L.R.G.
 An Ordered Phase with Slow Decay of Correlations
in Continuum 1/r^2 Ising Models
(45K, LaTeX)
Sep 18, 91

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

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.
 Files:
9128.src(
desc ,
9128.tex )