Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2003-07-22
Phys. Rev. Lett. 92, 127203 (2004)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 2 figures; Text changed in some parts, typos corrected, Refs. [17],[21] and [22] added, two Refs. removed
Scientific paper
10.1103/PhysRevLett.92.127203
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 $p$-spin model below the Gardner temperature. The existence of different solutions, breaking the supersymmetry, is also discussed.
Crisanti Andrea
Leuzzi Luca
Parisi Giorgio
Rizzo Thomas
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