{
  "id": "1007.5002",
  "version": "v2",
  "published": "2010-07-28T15:04:56.000Z",
  "updated": "2010-10-26T04:06:20.000Z",
  "title": "Stability of Holographic Superconductors",
  "authors": [
    "Sugumi Kanno",
    "Jiro Soda"
  ],
  "comment": "11 pages, published version",
  "journal": "Phys.Rev.D82:086003,2010",
  "doi": "10.1103/PhysRevD.82.086003",
  "categories": [
    "hep-th",
    "gr-qc",
    "hep-ph"
  ],
  "abstract": "We study the dynamical stability of holographic superconductors. We first classify perturbations around black hole background solutions into vector and scalar sectors by means of a 2-dimensional rotational symmetry. We prove the stability of the vector sector by explicitly constructing the positive definite Hamiltonian. To reveal a mechanism for the stabilization of a superconducting phase, we construct a quadratic action for the scalar sector. From the action, we see the stability of black holes near a critical point is determined by the equation of motion for a charged scalar field. We show the effective mass of the charged scalar field in hairy black holes is always above the Breitenlohner-Freedman bound near the critical point due to the backreaction of a gauge field. It implies the stability of the superconducting phase. We also argue that the stability continues away from the critical point.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-26T04:06:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.25.Tq",
      "04.70.Bw",
      "74.20.-z"
    ],
    "keywords": [
      "holographic superconductors",
      "critical point",
      "charged scalar field",
      "scalar sector",
      "black hole background solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2010,
      "month": "Oct",
      "volume": 82,
      "number": 8,
      "pages": "086003"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 863314,
      "adsabs": "2010PhRvD..82h6003K"
    }
  }
}