{
  "id": "2401.10223",
  "version": "v1",
  "published": "2024-01-18T18:59:05.000Z",
  "updated": "2024-01-18T18:59:05.000Z",
  "title": "Free energy in spin glass models with conventional order",
  "authors": [
    "Hong-Bin Chen"
  ],
  "comment": "16 pages",
  "categories": [
    "cond-mat.dis-nn",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "Recently, [arXiv:2302.01361] considered spin glass models with additional conventional order parameters characterizing single-replica properties. These parameters are distinct from the standard order parameter used to measure correlations between replicas. A \"min-max\" formula for the free energy was prescribed in [arXiv:2302.01361]. We rigorously verify this prescription in the setting of vector spin glass models featuring additional deterministic spin interactions. Notably, our results can be viewed as a generalization of the Parisi formula for vector spin glass models in [arXiv:1512.04441], where the order parameter for self-overlap is already present.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-18T18:59:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B44",
      "82D30"
    ],
    "keywords": [
      "conventional order",
      "free energy",
      "vector spin glass models",
      "additional deterministic spin interactions",
      "order parameters characterizing single-replica"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}