The semiclassical approximation to quantum gravity
arXiv:gr-qc/9312015 · doi:10.1007/3-540-58339-4_19
Abstract
A detailed review is given of the semiclassical approximation to quantum gravity in the canonical framework. This includes in particular the derivation of the functional Schrödinger equation and a discussion of semiclassical time as well as the derivation of quantum gravitational correction terms to the Schrödinger equation. These terms are used to calculate energy shifts for fields in De~Sitter space and non-unitary contributions in black hole evaporation. Emphasis is also put on the relevance of decoherence and correlations in semiclassical gravity. The back reaction of non-gravitational quantum fields onto the semiclassical background and the emergence of a Berry connection on superspace is also discussed in this framework.
LATEX, 47 pages, report Freiburg THEP-93/27, to appear in ``Canonical gravity -- from classical to quantum", edited by J. Ehlers and H. Friedrich (Springer, Berlin, 1994)
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