{
  "id": "1008.0777",
  "version": "v1",
  "published": "2010-08-04T13:41:29.000Z",
  "updated": "2010-08-04T13:41:29.000Z",
  "title": "Short-distance regularity of Green's function and UV divergences in entanglement entropy",
  "authors": [
    "Dmitry Nesterov",
    "Sergey N. Solodukhin"
  ],
  "comment": "LaTeX, 6 pages",
  "categories": [
    "hep-th",
    "cond-mat.stat-mech",
    "gr-qc"
  ],
  "abstract": "Reformulating our recent result (arXiv:1007.1246 [hep-th]) in coordinate space we point out that no matter how regular is short-distance behavior of Green's function the entanglement entropy in the corresponding quantum field theory is always UV divergent. In particular, we discuss a recent example by Padmanabhan (arXiv:1007.5066 [gr-qc]) of a regular Green's function and show that provided this function arises in a field theory the entanglement entropy in this theory is UV divergent and calculate the leading divergent term.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-04T13:41:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entanglement entropy",
      "short-distance regularity",
      "uv divergences",
      "uv divergent",
      "corresponding quantum field theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/JHEP09(2010)041",
      "journal": "Journal of High Energy Physics",
      "year": 2010,
      "month": "Sep",
      "volume": 2010,
      "pages": 41
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 864405,
      "adsabs": "2010JHEP...09..041N"
    }
  }
}