{
  "id": "1201.6212",
  "version": "v1",
  "published": "2012-01-30T14:03:01.000Z",
  "updated": "2012-01-30T14:03:01.000Z",
  "title": "Quantum fermions and quantum field theory from classical statistics",
  "authors": [
    "C. Wetterich"
  ],
  "comment": "15 pages, proceedings Emergent Quantum Mechanics, Heinz von Foerster conference, Vienna",
  "categories": [
    "quant-ph",
    "hep-th",
    "nucl-th"
  ],
  "abstract": "An Ising-type classical statistical ensemble can describe the quantum physics of fermions if one chooses a particular law for the time evolution of the probability distribution. It accounts for the time evolution of a quantum field theory for Dirac particles in an external electromagnetic field. This yields in the non-relativistic one-particle limit the Schr\\\"odinger equation for a quantum particle in a potential. Interference or tunneling arise from classical probabilities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-30T14:03:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum field theory",
      "quantum fermions",
      "classical statistics",
      "time evolution",
      "external electromagnetic field"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-6596/361/1/012031",
      "journal": "Journal of Physics Conference Series",
      "year": 2012,
      "month": "May",
      "volume": 361,
      "number": 1,
      "pages": "012031"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1086611,
      "adsabs": "2012JPhCS.361a2031W"
    }
  }
}