The semiclassical limit of loop quantum cosmology

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Abstract

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 γ parameter in controlling spacetime discreteness. In this way, standard quantum cosmology is shown to be the simultaneous limit γ → 0, j → ∞ 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 ℏ → 0, l → ∞ of angular momentum in quantum mechanics. Possible lessons for semiclassical states at the dynamical level in the full theory of quantum geometry are mentioned.

Original languageEnglish (US)
Pages (from-to)L109-L116
JournalClassical and Quantum Gravity
Volume18
Issue number18
DOIs
StatePublished - Sep 21 2001

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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