{
  "id": "1507.08213",
  "version": "v1",
  "published": "2015-07-29T16:48:02.000Z",
  "updated": "2015-07-29T16:48:02.000Z",
  "title": "Towards an Analytic Theory of Stochastic and Quantum Fields",
  "authors": [
    "Rodrigo Vargas Le-Bert"
  ],
  "comment": "14 pages, ICMP2015",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We propose a method for the rigorous construction of physically relevant functional measures. In shaping it we get several conceptual insights, which can perhaps be summarized by the following statement: the renormalized interaction Lagrangian should be the generator of a flow on a space of asymptotically free cylinder functional measures with density given, in the case of Boson fields with polynomial self-interaction, by a generalized form of the Appell polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-29T16:48:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T08",
      "60G60"
    ],
    "keywords": [
      "quantum fields",
      "analytic theory",
      "stochastic",
      "asymptotically free cylinder functional measures",
      "physically relevant functional measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1385636
    }
  }
}