On the stationary points of the TAP free energy
Andrea Cavagna, Irene Giardina, Giorgio Parisi
Abstract
In the context of the p-spin spherical model, we introduce a method for the computation of the number of stationary points of any nature (minima, saddles, etc.) of the TAP free energy. In doing this we clarify the ambiguities related to the approximations usually adopted in the standard calculations of the number of states in mean field spin glass models.
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