1994/08/18 by Giovanni Modanese · 45 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #Coupling constant #Euclidean geometry #Euclidean quantum gravity #Gauge theory #Gravitation #Gravitational field #Lattice (music) #Loop quantum gravity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum dynamics #Quantum gravity #Quantum mechanics #Quantum process #Semiclassical gravity #Theoretical physics #Vacuum energy #Wilson loop #hep-th
paper · pdf · doi:10.1016/0550-3213(94)00489-2
published in Nuclear Physics B 434(3), 697-708 (Elsevier BV) · 12 pages, LaTex, report MPI-PhT/94-53, August 1994
arxiv created 1994/08/18 · openalex publication_date 1995/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.