On Spin-Glass Complexity
Disordered Systems and Neural Networks
2009-11-10 v2 Statistical Mechanics
Abstract
We study the quenched complexity in spin-glass mean-field models satisfying the Becchi-Rouet-Stora-Tyutin supersymmetry. The outcome of such study, consistent with recent numerical results, allows, in principle, to conjecture the absence of any supersymmetric contribution to the complexity in the Sherrington-Kirkpatrick model. The same analysis can be applied to any model with a Full Replica Symmetry Breaking phase, e.g. the Ising -spin model below the Gardner temperature. The existence of different solutions, breaking the supersymmetry, is also discussed.
Keywords
Cite
@article{arxiv.cond-mat/0307543,
title = {On Spin-Glass Complexity},
author = {A. Crisanti and L. Leuzzi and G. Parisi and T. Rizzo},
journal= {arXiv preprint arXiv:cond-mat/0307543},
year = {2009}
}
Comments
4 pages, 2 figures; Text changed in some parts, typos corrected, Refs. [17],[21] and [22] added, two Refs. removed