AN ORDERED PHASE WITH SLOW DECAY OF CORRELATIONS IN CONTINUUM 1 R2 ISING-MODELS/

For continuum 1/r2 Ising models, we prove that the critical value of t he long range coupling constant (inverse temperature), above which an ordered phase occurs (for strong short range cutoff), is exactly 1. Th is leads to a proof of the existence of an ordered phase with slow dec ay of correlations. Our arguments involve comparisons between continuu m and discrete Ising models, including (quenched and annealed) site di luted models, which may be of independent interest.