{
  "id": "hep-ph/0206185",
  "version": "v3",
  "published": "2002-06-20T05:53:23.000Z",
  "updated": "2002-07-30T08:36:04.000Z",
  "title": "Vacuum polarization energy losses of high energy cosmic rays",
  "authors": [
    "V. A. Maisheev"
  ],
  "comment": "10 pages, 3 eps figures, Latex, epsfig.sty misprints corrected, mistake in Eqs(7-8) corrected, Eqs(4-5) rewrited in equiv. form, references added, main results not changed",
  "categories": [
    "hep-ph",
    "astro-ph"
  ],
  "abstract": "The process of the vacuum polarization energy losses of high energy cosmic rays propagating in the extragalactic space is considered. The process is due to the polarization of Cosmic Background Radiation by a moving charged particle. With the goal of the description of the process, the photon mass, refractive indices and permittivity function for low and high energy photons are found. Calculations show the rather noticeable level of the energy losses for propagating protons with the enegies more than 10^6 - 10^7 GeV. The influence of the polarization energy losses on propagation of cosmic rays is discussed.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-07-30T08:36:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vacuum polarization energy losses",
      "cosmic background radiation",
      "high energy photons",
      "high energy cosmic rays propagating"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 588885,
      "adsabs": "2002hep.ph....6185M"
    }
  }
}