1995/08/29 by Remo Garattini, Garattini, Remo
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.gr-qc/9508060
Revtex 3.0, preprint, 20 pages, new references included. Some Comments on the reparametrisation invariance added in the introduction and in the conclusion
arxiv created 1996/04/21 · arxiv updated 2009/11/30
We calculate, in a class of Gauge invariant functionals, by variational methods, the difference of vacuum energy between two different backgrounds: Schwarzschild and Flat Space. We perform this evaluation in an Hamiltonian formulation of Quantum Gravity by standard ''3+1'' decomposition. After the decomposition the scalar curvature is expanded to second order with respect to the Schwarzschild metric. We evaluate this energy difference in momentum space, in the lowest possible state (regardless of any negative mode). We find a singular behaviour in the UV-limit, due to the presence of the horizon when r=2m. When r>2m this singular behaviour disappears, which is in agreement with various other models presented in the literature.