On the Semiclassical Limit of Loop Quantum Cosmology

Details On the Semiclassical Limit of Loop Quantum Cosmology On the Semiclassical Limit of Loop Quantum Cosmology

2011-05-13

arxiv.org/abs/1105.2804v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 5 figures

Scientific paper

In this note we consider a k=0 Friedman-Robertson-Walker (FRW) model within loop quantum cosmology and consider the issue of its semiclassical limit. For this system, we benefit from the existence of a solvable model that allows us to construct analytical coherent-state solutions. We explore the physical criteria that select from these coherent states, those that display semiclassical behavior, and study their properties in the deep Planck regime. Furthermore, we consider generalized squeezed states and compare them to the Gaussian states. The issue of semiclassicality preservation across the bounce is studied and shown to be generic for all the states considered. Finally, we comment on the different implications these results have, depending on the topology of the spatial slice. In particular the issue of the recovery, within our class of states, of a scaling symmetry present in the classical description of the system when the spatial topology is non-compact.

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