{
  "id": "1712.06686",
  "version": "v1",
  "published": "2017-12-18T21:35:46.000Z",
  "updated": "2017-12-18T21:35:46.000Z",
  "title": "Algebraic quantum field theory on spacetimes with timelike boundary",
  "authors": [
    "Marco Benini",
    "Claudio Dappiaggi",
    "Alexander Schenkel"
  ],
  "comment": "25 pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We analyze quantum field theories on spacetimes $M$ with timelike boundary from a model-independent perspective. We construct an adjunction which describes a universal extension to the whole spacetime $M$ of theories defined only on the interior $\\mathrm{int}M$. The unit of this adjunction is a natural isomorphism, which implies that our universal extension satisfies Kay's F-locality property. Our main result is the following characterization theorem: Every quantum field theory on $M$ that is additive from the interior (i.e.\\ generated by observables localized in the interior) admits a presentation by a quantum field theory on the interior $\\mathrm{int}M$ and an ideal of its universal extension that is trivial on the interior. We shall illustrate our constructions by applying them to the free Klein-Gordon field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-18T21:35:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Txx"
    ],
    "keywords": [
      "algebraic quantum field theory",
      "timelike boundary",
      "extension satisfies kays f-locality property",
      "universal extension satisfies kays f-locality",
      "analyze quantum field theories"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}