Consistency of Semiclassical Gravity

Details Consistency of Semiclassical Gravity Consistency of Semiclassical Gravity

1994-09-08

arxiv.org/abs/gr-qc/9409014v1

Class.Quant.Grav.12:403-412,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, LATEX, Report Freiburg THEP-94/20

Scientific paper

10.1088/0264-9381/12/2/009

We discuss some subtleties which arise in the semiclassical approximation to quantum gravity. We show that integrability conditions prevent the existence of Tomonaga-Schwinger time functions on the space of three-metrics but admit them on superspace. The concept of semiclassical time is carefully examined. We point out that central charges in the matter sector spoil the consistency of the semiclassical approximation unless the full quantum theory of gravity and matter is anomaly-free. We finally discuss consequences of these considerations for quantum field theory in flat spacetime, but with arbitrary foliations.

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