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On the semiclassical limit of loop quantum cosmology

机译:关于环量子宇宙学的半经典极限

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摘要

We consider a k = 0 FriedmanRobertsonWalker (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.
机译:我们考虑环量子宇宙学(LQC)中的k = 0 FriedmanRobertsonWalker(FRW)模型,并探讨其半经典极限的问题。该模型是完全可解的,使我们能够为经典状态空间上的每个点构造解析(高斯)相干态解决方案。我们提出了从这些相干状态中选择的,显示半经典行为的物理标准,并研究了它们在深普朗克政权下的性质。此外,我们考虑广义压缩状态并将其与高斯状态进行比较。研究了整个弹跳过程中的半经典性保留问题,并显示出对于所有考虑的状态都是通用的。最后,根据空间切片的拓扑结构,我们对这些结果产生的一些影响进行评论。特别地,当空间拓扑结构不紧凑时,我们考虑在我们的状态类别内恢复出现在系统经典描述中的缩放对称性的问题。

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