The vacuum state of quantum gravity contains large virtual masses

Details The vacuum state of quantum gravity contains large virtual masses The vacuum state of quantum gravity contains large virtual masses

2006-05-09

arxiv.org/abs/physics/0605076v2

Class.Quant.Grav.24:1899-1910,2007

Physics

General Physics

13 pages, 4 figures; to appear in Class. Q. Gravity

Scientific paper

10.1088/0264-9381/24/8/001

In the functional integral approach to quantum gravity, the quantum configurations are usually treated to order hbar through a stationary phase approximation around the saddle point of the action where spacetime is flat. We show that from this point a "level line" in functional space departs, which comprises a family of static non-flat metrics with zero scalar curvature, depending on a continuous mass parameter. Furthermore, each of these metrics can be perturbed by an arbitrary function in such a way to still satisfy the condition Int(gR)d4x=0. We thus find a set of zero-modes of the gravitational action which has non-vanishing measure in the functional space. These metrics will contribute to the functional integral as vacuum fluctuations, on the same footing as those near the saddle point.

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