{
  "id": "2101.04352",
  "version": "v1",
  "published": "2021-01-12T08:44:13.000Z",
  "updated": "2021-01-12T08:44:13.000Z",
  "title": "The free energy of spherical pure $p$-spin models -- computation from the TAP approach",
  "authors": [
    "Eliran Subag"
  ],
  "categories": [
    "math.PR",
    "cond-mat.stat-mech"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-12T08:44:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin model",
      "free energy",
      "spherical pure",
      "tap approach",
      "computation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}