An Ordered Phase with Slow Decay
نویسنده
چکیده
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 cutoo), is exactly one. This leads to a proof of the existence of an ordered phase with slow decay of correlations. Our arguments involve comparisons between continuum and discrete Ising models, including (quenched and annealed) site diluted models, which may be of independent interest.
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تاریخ انتشار 1997