Algebraic quantum gravity (AQG): IV. Reduced phase space quantization of loop quantum gravity

DOI10.1088/0264-9381/27/17/175009zbMath1201.83022arXiv0711.0119OpenAlexW2009462443MaRDI QIDQ4933034

Thomas Thiemann, Kristina Giesel

Publication date: 7 October 2010

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0119

zbMATH Keywords

Einstein's equationsCauchy problemscanonical formalismgeneral structurequantization of gravitational field

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (18)

Tachyon field in loop cosmology ⋮ A quantum reduction to spherical symmetry in loop quantum gravity ⋮ Projective limits of state spaces. III: Toy-models ⋮ Bouncing Universe in loop quantum gravity: full theory calculation ⋮ Quantization of spherically symmetric loop quantum gravity coupled to a scalar field and a clock: the asymptotic limit ⋮ ADM-like Hamiltonian formulation of gravity in the teleparallel geometry ⋮ Loop quantum gravity ⋮ Kinematic projective quantum states for loop quantum gravity coupled to tensor fields ⋮ Dynamics of Dirac observables in canonical cosmological perturbation theory ⋮ Homogeneous-isotropic sector of loop quantum gravity: new approach ⋮ Reduced loop quantization with four Klein–Gordon scalar fields as reference matter ⋮ Constraint Lie algebra and local physical Hamiltonian for a generic 2D dilatonic model ⋮ Quantum gravity: A brief history of ideas and some prospects ⋮ Gauge invariant canonical cosmological perturbation theory with geometrical clocks in extended phase-space — A review and applications ⋮ Hamiltonian renormalisation I: derivation from Osterwalder–Schrader reconstruction ⋮ Gauge invariant variables for cosmological perturbation theory using geometrical clocks ⋮ 4-dimensional spin-foam model with quantum Lorentz group ⋮ Improved effective dynamics of loop-quantum-gravity black hole and Nariai limit

This page was built for publication: Algebraic quantum gravity (AQG): IV. Reduced phase space quantization of loop quantum gravity