The Semiclassical Limit of Loop Quantum Cosmology

Details The Semiclassical Limit of Loop Quantum Cosmology The Semiclassical Limit of Loop Quantum Cosmology

2001-05-29

arxiv.org/abs/gr-qc/0105113v1

Class.Quant.Grav.18:L109-L116,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

10.1088/0264-9381/18/18/101

The continuum and semiclassical limits of isotropic, spatially flat loop quantum cosmology are discussed, with an emphasis on the role played by the Barbero-Immirzi parameter \gamma in controlling space-time discreteness. In this way, standard quantum cosmology is shown to be the simultaneous limit \gamma \to 0, j \to \infty of loop quantum cosmology. Here, j is a label of the volume eigenvalues, and the simultaneous limit is technically the same as the classical limit \hbar \to 0, l \to \infty of angular momentum in quantum mechanics. Possible lessons for semiclassical states at the dynamical level in the full theory of quantum geometry are mentioned.

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