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arxiv: 1802.05782 · v2 · pith:YJZT2KLInew · submitted 2018-02-15 · 🧮 math.PR · math-ph· math.MP

The TAP-Plefka variational principle for the spherical SK model

classification 🧮 math.PR math-phmath.MP
keywords principlevariationalmodelsphericaltap-plefkaapproachapproximationbragg-williams
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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.

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