{
  "id": "2302.04842",
  "version": "v1",
  "published": "2023-02-09T18:49:57.000Z",
  "updated": "2023-02-09T18:49:57.000Z",
  "title": "An Introduction to the Theory of Spin Glasses",
  "authors": [
    "Ada Altieri",
    "Marco Baity-Jesi"
  ],
  "comment": "To appear as a chapter of the \"Encyclopedia of Condensed Matter Physics\", 2nd edition (Elsevier)",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We review the main methods used to study spin glasses. In the first part, we focus on methods for fully connected models and systems defined on a tree, such as the replica method, the Thouless-Anderson-Palmer formalism, the cavity method, and the dynamical mean-field theory. In the second part, we deal with the description of low-dimensional systems, mostly in three spatial dimensions, which are mostly studied through numerical simulations. We conclude by mentioning some of the main open problems in the field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-09T18:49:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "introduction",
      "study spin glasses",
      "main open problems",
      "cavity method",
      "replica method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}