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zbMATH Open
Article . 2012
Data sources: zbMATH Open
International Journal of Modern Physics D
Article . 2012 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2011
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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ON THE SEMICLASSICAL LIMIT OF LOOP QUANTUM COSMOLOGY

On the semiclassical limit of loop quantum cosmology
Authors: Corichi, Alejandro; Montoya, Edison;

ON THE SEMICLASSICAL LIMIT OF LOOP QUANTUM COSMOLOGY

Abstract

We consider a k = 0 Friedman–Robertson–Walker (FRW) model within loop quantum cosmology (LQC) and explore the issue of its semiclassical limit. The model is exactly solvable and allows us to construct analytical (Gaussian) coherent-state solutions for each point on the space of classical states. We propose 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 some implications these results have, depending on the topology of the spatial slice. In particular, we consider 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 noncompact.

Keywords

semiclassical limit, loop quantum cosmology, FOS: Physical sciences, Methods of quantum field theory in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), Quantum field theory on curved space or space-time backgrounds, coherent states, Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory, General Relativity and Quantum Cosmology, Quantization of the gravitational field, Relativistic cosmology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
24
Top 10%
Top 10%
Top 10%
Green