The Semiclassical limit of loop quantum cosmology
May, 200110 pages
Published in:
- Class.Quant.Grav. 18 (2001) L109-L116
e-Print:
- gr-qc/0105113 [gr-qc]
Report number:
- CGPG-01-5-2
View in:
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Abstract: (arXiv)
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.- quantum cosmology
- continuum limit
- approximation: semiclassical
- field theory: space-time
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