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We study numerically various properties of the free energy barriers in theEdwards-Anderson model of spin glasses in the low-temperature region both inthree and four spatial dimensions. In particular, we investigated thedependence of height of free energy barriers on system size and on the distancebetween the initial and final states (i.e. the overlap distance). A relatedquantity is the distribution of large local fluctuations of the overlap inlarge three-dimensional samples at equilibrium. Our results for both quantities(barriers and large deviations) are in agreement with the prediction obtainedin the framework of mean field theory. In addition, our result supports$D_{lc}=2.5$ as the lower critical dimension for the model.

Support for the value 5/2 for the spin glass lower critical dimension at zero magnetic field