Supersymmetric quenched complexity in the Sherrington-Kirkpatrick model

A Annibale, A Cavagna, I Giardina, G Parisi

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

By using a supersymmetric approach we compute the complexity of the metastable states in the Sherrington-Kirkpatrick spin-glass model. We prove that the supersymmetric complexity is exactly equal to the Legendre transform of the thermodynamic free energy, thus providing a recipe to find the complexity once the free energy is known. Our results suggest that the supersymmetry may be a useful tool for the calculation of the entropy of metastable states in generic glassy systems.
Original languageEnglish
Article number061103
JournalPHYSICAL REVIEW E
Volume68
Issue number6
DOIs
Publication statusPublished - 2003

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