论文标题
紧凑相位空间宇宙学的量子波动
Quantum fluctuations of the compact phase space cosmology
论文作者
论文摘要
在最近的文章中。 Rev. D 100，没有。 4，043533（2019）已提出了平坦DE Sitter宇宙学的紧凑相位空间概括。紧凑型的主要优点是物理量是有界的，量子理论的特征是有限的尺寸希尔伯特空间。此外，通过考虑$ \ mathbb {s}^2 $相位空间，量子描述是用use $ su（2）$表示理论构建的。本文的目的是应用有效的方法来提取量子动力学的半经典制度。分析既可以在不求解量子约束的情况下进行，也可以通过提取模型的物理哈密顿量进行。在有效级别上，这两个程序的结果被证明是等效的。我们发现宇宙回落周围的波动的非平凡行为，这与标准平面空间进行量化后发现的不同。该行为反映在带有量子后反应效应的修饰的弗里德曼方程的水平上，这是被得出的。最后，显示了宇宙学部门的量子波动与全息bousso结合之间的意外关系。
In the recent article Phys. Rev. D 100, no. 4, 043533 (2019) a compact phase space generalization of the flat de Sitter cosmology has been proposed. The main advantages of the compactification is that physical quantities are bounded, and the quantum theory is characterized by finite dimensional Hilbert space. Furthermore, by considering the $\mathbb{S}^2$ phase space, quantum description is constructed with the use $SU(2)$ representation theory. The purpose of this article is to apply effective methods to extract semi-classical regime of the quantum dynamics. The analysis is performed both without prior solving of the quantum constraint and by extracting physical Hamiltonian of the model. At the effective level, the results of the two procedures are shown to be equivalent. We find a nontrivial behavior of the fluctuations around the recollapse of the universe, which is distinct from what is found after quantization with the standard flat phase space. The behavior is reflected at the level of the modified Friedmann equation with quantum back-reaction effects, which is derived. Finally, an unexpected relation between the quantum fluctuations of the cosmological sector and the holographic Bousso bound is shown.
