{
  "id": "1008.4628",
  "version": "v2",
  "published": "2010-08-27T01:34:19.000Z",
  "updated": "2011-08-03T14:09:37.000Z",
  "title": "Analyticity of The Ground State Energy For Massless Nelson Models",
  "authors": [
    "Abdelmalek Abdesselam",
    "David Hasler"
  ],
  "comment": "33 pages, 1 figure, added a section on the calculation of the effective mass",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We show that the ground state energy of the translationally invariant Nelson model, describing a particle coupled to a relativistic field of massless bosons, is an analytic function of the coupling constant and the total momentum. We derive an explicit expression for the ground state energy which is used to determine the effective mass.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-03T14:09:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T08"
    ],
    "keywords": [
      "ground state energy",
      "massless nelson models",
      "analyticity",
      "translationally invariant nelson model",
      "explicit expression"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-011-1407-6",
      "journal": "Communications in Mathematical Physics",
      "year": 2012,
      "month": "Mar",
      "volume": 310,
      "number": 2,
      "pages": 511
    },
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 866901,
      "adsabs": "2012CMaPh.310..511A"
    }
  }
}