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 language | English |
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Article number | 061103 |
Journal | PHYSICAL REVIEW E |
Volume | 68 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2003 |