Diffeomorphism invariant measure for finite-dimensional geometries

DOI10.1016/S0550-3213(97)00017-5zbMath0925.58007arXivhep-th/9607071OpenAlexW1984010647MaRDI QIDQ1352617

Pier Paolo Peirano, Pietro Menotti

Publication date: 19 February 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9607071

zbMATH Keywords

quantum gravityfunctional integrationDeWitt metricD dimensional spaceintegration measure

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (11)

Two-dimensional quantum gravity with matter fields ⋮ Discrete approaches to quantum gravity in four dimensions ⋮ The propagation kernel for strong coupling gravity ⋮ Loop quantum gravity à la Aharonov-Bohm ⋮ Holographic description of boundary gravitons in (3+1) dimensions ⋮ The perturbative Regge-calculus regime of loop quantum gravity ⋮ On the Faddeev-Popov determinant in Regge calculus ⋮ Semiclassical regime of Regge calculus and spin foams ⋮ Group theoretical derivation of Liouville action for Regge surfaces ⋮ Perfect discretizations as a gateway to one-loop partition functions for 4D gravity ⋮ Lorentzian quantum cosmology goes simplicial

Cites Work

• Unnamed Item
• Spectral geometry of singular Riemannian spaces
• Functional integration on two-dimensional Regge geometries
• Quantum Theory of Gravity. I. The Canonical Theory
• The path integral measure, conformal factor problem and stability of the ground state of quantum gravity

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