The semiclassical approximation to quantum gravity

Details The semiclassical approximation to quantum gravity The semiclassical approximation to quantum gravity

1993-12-09

arxiv.org/abs/gr-qc/9312015v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LATEX, 47 pages, report Freiburg THEP-93/27, to appear in ``Canonical gravity -- from classical to quantum", edited by J. Ehle

Scientific paper

10.1007/3-540-58339-4_19

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 Schr\"odinger equation and a discussion of semiclassical time as well as the derivation of quantum gravitational correction terms to the Schr\"odinger 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.

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