{
  "id": "1701.05569",
  "version": "v1",
  "published": "2017-01-19T19:07:26.000Z",
  "updated": "2017-01-19T19:07:26.000Z",
  "title": "On scaling limits in Euclidean quantum field theory",
  "authors": [
    "Svetoslav Zahariev"
  ],
  "comment": "18 pages",
  "categories": [
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "abstract": "We present a general scaling limit construction of probability measures obeying the Glimm-Jaffe axioms of Euclidean quantum field theory in arbitrary space-time dimension. In particular, we obtain measures that may be interpreted as corresponding to scalar quantum fields with arbitrary continuous self-interaction. It remains however an open problem whether this general construction contains non-Gaussian measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-19T19:07:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T08"
    ],
    "keywords": [
      "euclidean quantum field theory",
      "scaling limit",
      "general construction contains non-gaussian measures",
      "scalar quantum fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}