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The TAP-Plefka variational principle for the spherical SK model

arXiv:1802.05782 · doi:10.1007/s00220-019-03304-y

Abstract

We reinterpret the Thouless-Anderson-Palmer approach to mean field spin glass models as a variational principle in the spirit of the Gibbs variational principle and the Bragg-Williams approximation. We prove this TAP-Plefka variational principle rigorously in the case of the spherical Sherrington-Kirkpatrick model.