Lattice Loop Quantum Gravity

Details Lattice Loop Quantum Gravity Lattice Loop Quantum Gravity

2009-11-20

arxiv.org/abs/0911.4141v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 figures

Scientific paper

We present a separable version of Loop Quantum Gravity (LQG) based on an inductive system of cubic lattices. We construct semi-classical states for which the LQG operators -- the flux, the area and the volume operators -- have the right classical limits. Also, we present the Hamilton and diffeomorphism constraints as operator constraints and show that they have the right classical limit. Finally, we speculate whether the continuum limit, which these semi-classical states probe, can be defined for the entire construction and thereby restore an action of the diffeomorphism group.

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