- 91-28 Fontes L.R.G.
- An Ordered Phase with Slow Decay of Correlations
in Continuum 1/r^2 Ising Models
Sep 18, 91
(auto. generated ps),
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.