Loss of quantum coherence through scattering off virtual black holes

Details Loss of quantum coherence through scattering off virtual black holes Loss of quantum coherence through scattering off virtual black holes

1997-05-20

arxiv.org/abs/hep-th/9705147v1

Phys.Rev. D56 (1997) 6403-6415

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, Latex, 4 figures

Scientific paper

10.1103/PhysRevD.56.6403

In quantum gravity, fields may lose quantum coherence by scattering off vacuum fluctuations in which virtual black hole pairs appear and disappear. Although it is not possible to properly compute the scattering off such fluctuations, we argue that one can get useful qualitative results, which provide a guide to the possible effects of such scattering, by considering a quantum field on the $C$ metric, which has the same topology as a virtual black hole pair. We study a scalar field on the Lorentzian $C$ metric background, with the scalar field in the analytically-continued Euclidean vacuum state. We find that there are a finite number of particles at infinity in this state, contrary to recent claims made by Yi. Thus, this state is not determined by data at infinity, and there is loss of quantum coherence in this semi-classical calculation.

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