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Complexity in the Sherrington-Kirkpatrick model in the annealed approximation (Articolo in rivista)

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Complexity in the Sherrington-Kirkpatrick model in the annealed approximation (Articolo in rivista) (literal)

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Crisanti, A; Leuzzi, L; Parisi, G ; Rizzo, T (2003)
Complexity in the Sherrington-Kirkpatrick model in the annealed approximation
in Physical review. B, Condensed matter and materials physics
(literal)

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Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy Univ Roma La Sapienza, INFM SMC Ctr, I-00185 Rome, Italy (literal)

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Complexity in the Sherrington-Kirkpatrick model in the annealed approximation (literal)

Abstract

A careful critical analysis of the complexity, at the annealed level, of the Sherrington-Kirkpatrick model has been performed. The complexity functional is proved to be always invariant under the Becchi-Rouet-Stora-Tyutin supersymmetry, disregarding the formulation used to define it. We consider two different saddle points of such functional, one satisfying the supersymmetry [A. Cavagna , J. Phys. A 36, 1175 (2003)] and the other one breaking it [A. J. Bray and M. A. Moore, J. Phys. C 13, L469 (1980)]. We review the previews studies on the subject, linking different perspectives and pointing out some inadequacies and even inconsistencies in both solutions. (literal)

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