The free energy of spherical pure $p$-spin models -- computation from the TAP approach

Eliran Subag

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arXiv · 2101.04352

The free energy of spherical pure $p$-spin models -- computation from the TAP approach

Eliran Subag

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Abstract

We compute the free energy at all temperatures for the spherical pure $p$-spin models from the generalized Thouless-Anderson-Palmer representation. This is the first example of a mixed $p$-spin model for which the free energy is computed in the whole replica symmetry breaking phase, without appealing to the famous Parisi formula.

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Eliran Subag. 2021-01-12. The free energy of spherical pure $p$-spin models -- computation from the TAP approach. https://arxiv.org/abs/2101.04352

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