{
  "id": "0707.3362",
  "version": "v2",
  "published": "2007-07-23T11:24:48.000Z",
  "updated": "2008-01-31T21:41:36.000Z",
  "title": "Gibbs measures with double stochastic integrals on a path space",
  "authors": [
    "Volker Betz",
    "Fumio Hiroshima"
  ],
  "comment": "17 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the Pauli-Fierz model in nonrelativistic quantum electrodynamics, we prove the existence of its infinite volume limit.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-31T21:41:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B21",
      "81T10"
    ],
    "keywords": [
      "double stochastic integral",
      "path space",
      "nonrelativistic quantum electrodynamics",
      "infinite volume limit",
      "brownian motion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.3362B"
    }
  }
}