{
  "id": "2501.17852",
  "version": "v1",
  "published": "2025-01-29T18:51:55.000Z",
  "updated": "2025-01-29T18:51:55.000Z",
  "title": "Holographic Fluctuation-Dissipation Relations in Finite Density Systems",
  "authors": [
    "Shivam K. Sharma"
  ],
  "comment": "22 pages + appendices, 4 figures",
  "categories": [
    "hep-th",
    "cond-mat.stat-mech",
    "gr-qc"
  ],
  "abstract": "Using real-time holography, we investigate fluctuation-dissipation relations in holographic systems at finite density. In the bulk, it corresponds to the study of scattering of charged scalar field against a charged black hole background and derives an exterior field theory outside the AdS Reissner-Nordstr\\\"om black hole. This theory captures dissipation (from infalling Quasi-normal modes) and fluctuations (from Hawking radiation). Here, we also develop a Witten diagrammatic framework for computing $n$-point functions for interacting charged scalars. From the boundary perspective, it gives real-time correlations of the dual CFT held at finite temperature and finite chemical potential. Our results yield (non)-linear holographic fluctuation-dissipation relations at finite density, which are shown to recover the correct behaviour in the zero-density limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-01-29T18:51:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "holographic fluctuation-dissipation relations",
      "finite density systems",
      "exterior field theory outside",
      "theory captures dissipation",
      "dual cft held"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}