{
  "id": "0712.0685",
  "version": "v2",
  "published": "2007-12-05T10:46:01.000Z",
  "updated": "2008-02-22T14:28:37.000Z",
  "title": "From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives",
  "authors": [
    "Felix Finster"
  ],
  "comment": "25 pages, LaTeX, 6 figures, minor improvements (published version)",
  "journal": "\"Quantum Field Theory,\" B. Fauser et al. (eds.), Birkh\\\"auser (2009) 235-259",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This survey article reviews recent results on fermion system in discrete space-time and corresponding systems in Minkowski space. After a basic introduction to the discrete setting, we explain a mechanism of spontaneous symmetry breaking which leads to the emergence of a discrete causal structure. As methods to study the transition between discrete space-time and Minkowski space, we describe a lattice model for a static and isotropic space-time, outline the analysis of regularization tails of vacuum Dirac sea configurations, and introduce a Lorentz invariant action for the masses of the Dirac seas. We mention the method of the continuum limit, which allows to analyze interacting systems. Open problems are discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-02-22T14:28:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minkowski space",
      "discrete space-time",
      "basic mechanisms",
      "perspectives",
      "vacuum dirac sea configurations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/978-3-7643-8736-5_14"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 769700,
      "adsabs": "2009qft..book..235F"
    }
  }
}