{
  "id": "1808.00088",
  "version": "v1",
  "published": "2018-07-31T22:14:35.000Z",
  "updated": "2018-07-31T22:14:35.000Z",
  "title": "Non-existence of ground states in the translation invariant Nelson model",
  "authors": [
    "Thomas Norman Dam"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we consider the massless translation invariant Nelson model with ultraviolet cutoff. It is proven that the fiber operators have no ground state if there is no infrared cutoff.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-31T22:14:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state",
      "massless translation invariant nelson model",
      "non-existence",
      "ultraviolet cutoff",
      "fiber operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}