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We compare the critical behavior of the short-range Ising spin glass with aspin glass with long-range interactions which fall off as a power sigma of thedistance. We show that there is a value of sigma of the long-range model forwhich the critical behavior is very similar to that of the short-range model infour dimensions. We also study a value of sigma for which we find the criticalbehavior to be compatible with that of the three dimensional model, though wehave much less precision than in the four-dimensional case.

The correspondence between long-range and short-range spin glasses