A spin-statistics theorem for quantum fields on curved spacetime manifolds in a generally covariant framework

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dc.creatorVerch, Rainer
dc.date2001-02-28
dc.date2001-06-01
dc.date.accessioned2026-07-07T11:32:25Z
dc.date.available2026-07-07T11:32:25Z
dc.descriptionA model-independent, locally generally covariant formulation of quantum field theory over four-dimensional, globally hyperbolic spacetimes will be given which generalizes similar, previous approaches. Here, a generally covariant quantum field theory is an assignment of quantum fields to globally hyperbolic spacetimes with spin-structure where each quantum field propagates on the spacetime to which it is assigned. Imposing very natural conditions such as local general covariance, existence of a causal dynamical law, fixed spinor- or tensor-type for all quantum fields of the theory, and that the quantum field on Minkowski spacetime satisfies the usual conditions, it will be shown that a spin-statistics theorem hols: If for some spacetimes the corresponding quantum field obeys the "wrong" connection between spin and statistics, then all quantum fields of the theory, on each spacetime, are trivial.
dc.descriptionlatex2e, 1 figure, 32 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0102035
dc.identifierhttp://arxiv.org/abs/math-ph/0102035
dc.identifierCommun.Math.Phys.223:261-288,2001
dc.identifierdoi:10.1007/s002200100526
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197588
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleA spin-statistics theorem for quantum fields on curved spacetime manifolds in a generally covariant framework
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