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arXiv · 1903.01030

The generalized TAP free energy II

Wei-Kuo Chen·Dmitry Panchenko·Eliran Subag
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Abstract

In a recent paper [14], we developed the generalized TAP approach for mixed $p$-spin models with Ising spins at positive temperature. Here we extend these results in two directions. We find a simplified representation for the energy of the generalized TAP states in terms of the Parisi measure of the model and, in particular, show that the energy of all states at a given distance from the origin is the same. Furthermore, we prove the analogues of the positive temperature results at zero temperature, which concern the ground-state energy and the organization of ground-state configurations in space.

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Wei-Kuo Chen, Dmitry Panchenko, Eliran Subag. 2019-03-04. The generalized TAP free energy II. https://doi.org/10.1007/s00220-020-03887-x

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