Aspects of locally covariant quantum field theory

dc.creatorSanders, Ko
dc.date2008-09-28
dc.date.accessioned2026-07-07T10:06:03Z
dc.date.available2026-07-07T10:06:03Z
dc.descriptionThis 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.
dc.descriptionPhD-thesis, 192 pages, 3 figures, with minor corrections; not available as .dvi or .ps file
dc.identifierhttps://arxiv.org/abs/0809.4828
dc.identifierhttp://arxiv.org/abs/0809.4828
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170198
dc.subjectMathematical Physics
dc.titleAspects of locally covariant quantum field theory
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