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.
Spin-Glass Complexity / Crisanti, Andrea; L, L. E. U. Z. Z. I.; Parisi, Giorgio; Rizzo, Tommaso. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 92:(2004), pp. 127203-1-127203-4. [10.1103/PhysRevLett.92.127203]
Spin-Glass Complexity
CRISANTI, Andrea;PARISI, Giorgio;RIZZO, TOMMASO
2004
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 p-spin model below the Gardner temperature. The existence of different solutions, breaking the supersymmetry, is also discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
