Universality in p-spin glasses with correlated disorder release_oezx2fw2wjdhdixghsdchnjk4q

by Valentin Bonzom, Razvan Gurau, Matteo Smerlak

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2012  

Abstract

We introduce a new method, based on the recently developed random tensor theory, to study the p-spin glass model with non-Gaussian, correlated disorder. Using a suitable generalization of Gurau's theorem on the universality of the large N limit of the p-unitary ensemble of random tensors, we exhibit an infinite family of such non-Gaussian distributions which leads to same low temperature phase as the Gaussian distribution. While this result is easy to show (and well known) for uncorrelated disorder, its robustness with respect to strong quenched correlations is surprising. We show in detail how the critical temperature is renormalized by these correlations. We close with a speculation on possible applications of random tensor theory to finite-range spin glass models.
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Type  report
Stage   accepted
Date   2012-12-10
Version   v2
Language   en ?
Number  pi-qg-294
arXiv  1206.5539v2
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