Wheeler-DeWitt equation and Feynman diagrams

Details Wheeler-DeWitt equation and Feynman diagrams Wheeler-DeWitt equation and Feynman diagrams

1997-11-11

arxiv.org/abs/gr-qc/9711037v1

Nucl.Phys. B526 (1998) 509-539

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, LATEX, 1 figure

Scientific paper

10.1016/S0550-3213(98)00349-6

We present a systematic expansion of all constraint equations in canonical quantum gravity up to the order of the inverse Planck mass squared. It is demonstrated that this method generates the conventional Feynman diagrammatic technique involving graviton loops and vertices. It also reveals explicitly the back reaction effects of quantized matter and graviton vacuum polarization. This provides an explicit correspondence between the frameworks of canonical and covariant quantum gravity in the semiclassical limit.

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