{
  "id": "0809.4828",
  "version": "v1",
  "published": "2008-09-28T08:45:31.000Z",
  "updated": "2008-09-28T08:45:31.000Z",
  "title": "Aspects of locally covariant quantum field theory",
  "authors": [
    "Ko Sanders"
  ],
  "comment": "PhD-thesis, 192 pages, 3 figures, with minor corrections; not available as .dvi or .ps file",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This thesis considers various aspects of locally covariant quantum field theory (LCQFT; see Brunetti et al., Commun.Math.Phys. 237 (2003), 31-68), a mathematical framework to describe axiomatic quantum field theories in curved spacetimes. New results include: a philosophical interpretation of certain aspects of this framework in terms of modal logic; a proof that the truncated n-point functions of any Hadamard state of the free real scalar field are smooth, except for n=2; a description of he free Dirac field in a representation independent way, showing that the theory is determined entirely by the relations between the adjoint map, the charge conjugation map and the Dirac operator; a proof that the relative Cauchy evolution of the free Dirac field is related to its stress-energy-momentum tensor in the same way as for the free real scalar field (cf. loc.cit.); several results on the Reeh-Schlieder property in LCQFT, including but not limited to those of our earlier paper; a new and elegant approach to wave front sets of Banach space-valued distributions, which allows easy proofs and extensions of results in the literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-28T08:45:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "locally covariant quantum field theory",
      "free real scalar field",
      "free dirac field"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 192,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 797933,
      "adsabs": "2008arXiv0809.4828S"
    }
  }
}