Free energy landscapes in spherical spin glasses

28 Jun 2020 Subag Eliran

We introduce and analyze free energy landscapes defined by associating to any point inside the sphere a free energy calculated on a thin spherical band around it, using many orthogonal replicas. This allows us to reinterpret, rigorously prove and extend for general spherical models the main ideas of the Thouless-Anderson-Palmer (TAP) approach originally introduced in the 70s for the Sherrington-Kirkpatrick model... (read more)

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