ON THE CONSISTENCY OF THE CONSTRAINT ALGEBRA IN SPIN NETWORK QUANTUM GRAVITY

DOI10.1142/S0218271898000103zbMath0936.83021arXivgr-qc/9710018WikidataQ57394246 ScholiaQ57394246MaRDI QIDQ4936975

Rodolfo Gambini, Donald Marolf, Jorge Pullin, Jerzy Lewandowski

Publication date: 2 February 2000

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9710018

zbMATH Keywords

Wheeler-De Witt equationquantum HamiltonianEuclidean gravityloop approach to the quantization of general relativity

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27)

Related Items (14)

The Kantowski-Sachs space-time in loop quantum gravity ⋮ Strings as perturbations of evolving spin networks ⋮ FUNDAMENTAL STRUCTURE OF LOOP QUANTUM GRAVITY ⋮ Exact quantisation of U(1)³ quantum gravity via exponentiation of the hypersurface deformation algebroid ⋮ Master constraint operators in loop quantum gravity ⋮ Loop quantum gravity ⋮ Problem of time in quantum gravity ⋮ Axisymmetric gravity in real Ashtekar variables: the quantum theory ⋮ A new realization of quantum geometry ⋮ Euclidean LQG dynamics: an electric shift in perspective ⋮ Eleven-dimensional supergravity as a constrained topological field theory ⋮ Loop quantum gravity ⋮ Time evolution as refining, coarse graining and entangling ⋮ Towards a background independent approach to \(\mathcal M\) theory

Cites Work

• Discreteness of area and volume in quantum gravity
• The physical Hamiltonian in nonperturbative quantum gravity
• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom

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