{
  "id": "1203.2708",
  "version": "v3",
  "published": "2012-03-13T04:07:05.000Z",
  "updated": "2012-09-01T22:54:56.000Z",
  "title": "Renormalization Group Approach to Casimir Effect and the Attractive and Repulsive Forces in Substance",
  "authors": [
    "Shoichi Ichinose"
  ],
  "comment": "Proceedings of International Tribology Conference (Hiroshima 2011.10.30-11.03), 20 pages, 7 figures",
  "categories": [
    "cond-mat.mes-hall",
    "hep-th"
  ],
  "abstract": "Electromagnetism in substance is characterized by permittivity (dielectric constant) and permeability (magnetic permeability). They describe the substance property {\\it effectively}. We present a {\\it geometric} approach to it. Some models are presented, where the two quantities are geometrically defined. Fluctuation due to the micro dynamics (such as dipole-dipole interaction) is taken into account by the (generalized) path-integral. Free energy formula (Lifshitz 1954), for the material composed of three regions with different permittivities, is explained. Casimir energy is obtained by a new regularization using the path-integral. Attractive force or repulsive one is determined by the sign of the {\\it renormalization-group} $\\beta$-function.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-09-01T22:54:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "renormalization group approach",
      "casimir effect",
      "repulsive forces",
      "attractive",
      "free energy formula"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1094134,
      "adsabs": "2012arXiv1203.2708I"
    }
  }
}