{
  "id": "1110.4819",
  "version": "v1",
  "published": "2011-10-21T15:19:53.000Z",
  "updated": "2011-10-21T15:19:53.000Z",
  "title": "Drude model and Lifshitz formula",
  "authors": [
    "M. Bordag"
  ],
  "comment": "accepted for publication in EPJC",
  "journal": "Eur. Phys. J. C, 71:1788, 2011",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Since nearly 10 years, it is known that inserting the permittivity of the Drude model into the Lifshitz formula for free energy causes a violation of the third law of thermodynamics. In this paper we show that the standard Matsubara formulation for free energy contains a contribution that is non-perturbative in the relaxation parameter. We argue that the correct formula must have a perturbative expansion and conclude that the standard Matsubara formulation with the permittivity of the Drude model inserted is not correct. We trace the non-perturbative contribution in the complex frequency plane, where it shows up as a self-intersection or a bifurcation of the integration path.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-21T15:19:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "drude model",
      "lifshitz formula",
      "standard matsubara formulation",
      "free energy contains",
      "complex frequency plane"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1140/epjc/s10052-011-1788-x",
      "journal": "European Physical Journal C",
      "year": 2011,
      "month": "Oct",
      "volume": 71,
      "pages": 1788
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011EPJC...71.1788B"
    }
  }
}