{
  "id": "1708.02803",
  "version": "v1",
  "published": "2017-08-09T12:20:47.000Z",
  "updated": "2017-08-09T12:20:47.000Z",
  "title": "Localization in the Rindler Wedge",
  "authors": [
    "M. Asorey",
    "A. P. Balachandran",
    "G. Marmo",
    "A. R. de Queiroz"
  ],
  "comment": "11 pages",
  "categories": [
    "hep-th",
    "gr-qc",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "One of the striking features of QED is that charged particles create a coherent cloud of photons. The resultant coherent state vectors of photons generate a non-trivial representation of the localized algebra of observables that do not support a representation of the Lorentz group: Lorentz symmetry is spontaneously broken. We show in particular that Lorentz boost generators diverge in this representation, a result shown also in [1] (See also [2]). Localization of observables, for example in the Rindler wedge, uses Poincar\\'e invariance in an essential way [3]. Hence in the presence of charged fields, the photon observables cannot be localized in the Rindler wedge. These observations may have a bearing on the black hole information loss paradox, as the physics in the exterior of the black hole has points of resemblance to that in the Rindler wedge.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-09T12:20:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rindler wedge",
      "black hole information loss paradox",
      "localization",
      "resultant coherent state vectors",
      "lorentz boost generators diverge"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}