Covariant and quasi-covariant quantum dynamics in Robertson-Walker space-times

Details Covariant and quasi-covariant quantum dynamics in Robertson-Walker space-times Covariant and quasi-covariant quantum dynamics in Robertson-Walker space-times

2002-07-06

arxiv.org/abs/hep-th/0207057v1

Class.Quant.Grav. 19 (2002) 6417-6434

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 1 figure

Scientific paper

We propose a canonical description of the dynamics of quantum systems on a class of Robertson-Walker space-times. We show that the worldline of an observer in such space-times determines a unique orbit in the local conformal group SO(4,1) of the space-time and that this orbit determines a unique transport on the space-time. For a quantum system on the space-time modeled by a net of local algebras, the associated dynamics is expressed via a suitable family of ``propagators''. In the best of situations, this dynamics is covariant, but more typically the dynamics will be ``quasi-covariant'' in a sense we make precise. We then show by using our technique of ``transplanting'' states and nets of local algebras from de Sitter space to Robertson-Walker space that there exist quantum systems on Robertson-Walker spaces with quasi-covariant dynamics. The transplanted state is locally passive, in an appropriate sense, with respect to this dynamics.

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