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The Semiclassical Limit of Loop Quantum Cosmology

Martin Bojowald
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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 parameter γin controlling space-time discreteness. In this way, standard quantum cosmology is shown to be the simultaneous limit γ\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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Martin Bojowald. 2001-05-29. The Semiclassical Limit of Loop Quantum Cosmology. https://doi.org/10.1088/0264-9381%2F18%2F18%2F101

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