General Covariance in Quantum Gravity

Details General Covariance in Quantum Gravity General Covariance in Quantum Gravity

2002-01-30

arxiv.org/abs/hep-th/0201246v1

Class.Quant.Grav. 19 (2002) 3017-3032

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 3 figures, RevTeX

Scientific paper

10.1088/0264-9381/19/11/317

The question of general covariance in quantum gravity is considered in the first post-Newtonian approximation. Transformation properties of observable quantities under deformations of a reference frame, induced by variations of the gauge conditions fixing general invariance, are determined. It is found that the one-loop contributions violate the principle of general covariance, in the sense that the quantities which are classically invariant under such deformations take generally different values in different reference frames. The relative value of this violation is of the order 1/N, where N is the number of particles in a gravitating body.

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