{
  "id": "math-ph/0012024",
  "version": "v1",
  "published": "2000-12-12T14:44:24.000Z",
  "updated": "2000-12-12T14:44:24.000Z",
  "title": "Quantum fields on timelike curves",
  "authors": [
    "Michael Keyl"
  ],
  "comment": "56 pages",
  "categories": [
    "math-ph",
    "gr-qc",
    "hep-th",
    "math.MP"
  ],
  "abstract": "A quantum field F(x) exists at an event x of space-time in general only as a quadratic form. Only after smearing with a smooth test function we get an operator. In this paper the question is considered whether it is possible as well to smear F(x) with a singular test function T (i.e. a test distribution) supported by a smooth timelike curve. It is shown that this is always possible if F(x) satisfies the micro local spectrum condition and T belongs to a special class of distributions which retain some regularity in timelike directions. In the free field case these results are used to define some kind of time-translation along the curve which generalizes global space-time translations of Minkowski space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-12-12T14:44:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T20",
      "81T05",
      "58Jxx",
      "46L60"
    ],
    "keywords": [
      "quantum field",
      "timelike curve",
      "generalizes global space-time translations",
      "micro local spectrum condition",
      "singular test function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 56,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 538581,
      "adsabs": "2000math.ph..12024K"
    }
  }
}