Fundamentals and recent developments in non-perturbative canonical Quantum Gravity
arXiv:0805.2503
Abstract
The aim of this review is to provide a detailed account of the physical content emerging from this story of the canonical approach to Quantum Gravity. All the crucial steps in our presentation have a pedagogical character, providing the reader with the necessary tools to become involved in the field. Such a pedagogical aspect is then balanced and completed by subtle discussions on specific topics which we regard as relevant for the physical insight they outline on the treated questions. Our analysis is not aimed at convincing the reader about a pre-constituted point of view, bu instead our principal goal is to review the picture of Canonical Quantum Gravity on the basis of the concrete facts at the ground of its clear successes, but also of its striking shortcomings.
95 pages, a section and a new reference have been added
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- Matter in Loop Quantum Gravity without time gauge: a non-minimally coupled scalar field
- Cardy-Verlinde entropy in Hořava-Lifshitz gravity
- Solution of the noncanonicity puzzle in General Relativity: a new Hamiltonian formulation
- Spin connection as Lorentz gauge field: propagating torsion
- Gravity in presence of fermions as a SU(2) gauge theory
- Global Barbero-Immirzi Connections