Potential energy in quantum gravity

Details Potential energy in quantum gravity Potential energy in quantum gravity

1994-08-18

arxiv.org/abs/hep-th/9408103v1

Nucl.Phys. B434 (1995) 697-708

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTex, report MPI-PhT/94-53, August 1994

Scientific paper

10.1016/0550-3213(94)00489-2

We give a general expression for the static potential energy of the gravitational interaction of two massive particles, in terms of an invariant vacuum expectation value of the quantized gravitational field. This formula holds for functional integral formulations of euclidean quantum gravity, regularized to avoid conformal instability. It could be regarded as the analogue of the Wilson loop of gauge theories and allows in principle, through numerical lattice simulations or other approximation techniques, non perturbative evaluations of the potential or of the effective coupling constant.

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