A formula for the static potential energy in quantum gravity

dc.creatorModanese, Giovanni
dc.date1993-06-17
dc.date1993-11-08
dc.date.accessioned2026-07-07T09:01:14Z
dc.date.available2026-07-07T09:01:14Z
dc.descriptionWe 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 for gauge theories and allows in principle, through numerical simulations or other approximation techniques, non perturbative evaluations of the potential or of the effective coupling constant. The geometrical meaning of this expression is quite simple, as it represents the ``average proper-time delay'', respect to two neighboring lines, of a very long geodesic with unit timelike tangent vector.
dc.description13 pages, LaTex, report CTP #2217, June 1993. -- REVISED VERSION: the section "Interaction energy versus ADM energy has been rewritten"
dc.identifierhttps://arxiv.org/abs/hep-th/9306078
dc.identifierhttp://arxiv.org/abs/hep-th/9306078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148254
dc.subjectHigh Energy Physics - Theory
dc.titleA formula for the static potential energy in quantum gravity
dc.typetext

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