Gravitational Wilson Loop and Large Scale Curvature

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dc.creatorHamber, Herbert W.
dc.creatorWilliams, Ruth M.
dc.date2007-06-15
dc.date2007-08-28
dc.date.accessioned2026-07-07T10:56:14Z
dc.date.available2026-07-07T10:56:14Z
dc.descriptionIn a quantum theory of gravity the gravitational Wilson loop, defined as a suitable quantum average of a parallel transport operator around a large near-planar loop, provides important information about the large-scale curvature properties of the geometry. Here we shows that such properties can be systematically computed in the strong coupling limit of lattice regularized quantum gravity, by performing a local average over rotations, using an assumed near-uniform measure in group space. We then relate the resulting quantum averages to an expected semi-classical form valid for macroscopic observers, which leads to an identification of the gravitational correlation length appearing in the Wilson loop with an observed large-scale curvature. Our results suggest that strongly coupled gravity leads to a positively curved (De Sitter-like) quantum ground state, implying a positive effective cosmological constant at large distances.
dc.description22 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0706.2342
dc.identifierhttp://arxiv.org/abs/0706.2342
dc.identifierPhys.Rev.D76:084008,2007
dc.identifierdoi:10.1103/PhysRevD.76.084008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186344
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGravitational Wilson Loop and Large Scale Curvature
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