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The TAP–Plefka Variational Principle for the Spherical SK Model

  • David BeliusEmail author
  • Nicola Kistler
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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.

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Notes

Acknowledgement

The first author thanks Erwin Bolthausen and Giuseppe Genovese for valuable discussions on a draft of this article. The second author wishes to express his gratitude to Markus Petermann for a longstanding discussion on spin glasses, and to Anton Wakolbinger for encouragement.

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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.University of BaselBaselSwitzerland
  2. 2.University of FrankfurtFrankfurtGermany

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