Valentin Bonzom, Razvan Gurau, Matteo Smerlak
In analogy to random matrices, a suitable ensemble of random tensors has recently been showed to possess a well defined large N limit, which furthermore turns out to be universally Gaussian. Here we show that, in the context of (infinite-range) p-spin glass models, this property translates into the universality of the spin-glass transition with respect to an infinite class of perturbations of the standard Gaussian distribution for the quenched coupling variables. Specifically, we prove that all perturbations in this class change the critical temperature but not the structure of the low temperature phase. We also speculate on possible applications of random tensor theory to short-range spin glass models.
View original:
http://arxiv.org/abs/1206.5539
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