Uniqueness of minimal loop quantum cosmology dynamics
Uniqueness of minimal loop quantum cosmology dynamics
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DOI：
10.1103/physrevd.100.121901
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发表时间：
2019-02
影响因子：
5
通讯作者：
J. Engle;Ilya Vilensky
中科院分区：
文献类型：
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作者：
J. Engle;Ilya Vilensky
我们证明，各向同性环量子宇宙学的标准哈密顿量是通过物理标准加上一个选择来选择的：它具有“最少”的项数。我们还展示了能量密度的自由度和有界性，即使这种选择是宽松的。使用的标准是膨胀下的协方差，在此上下文中保留连续微分同胚，它们不是规范变换，而是共形规范变换。我们提出如何在量子理论中实现共形正则变换。去除红外调节器可以消除排序模糊性。
We show that the standard Hamiltonian of isotropic loop quantum cosmology is selected by physical criteria plus one choice: that it have a `minimal' number of terms. We also show the freedom, and boundedness of energy density, even when this choice is relaxed. A criterion used is covariance under dilations, the continuous diffeomorphisms remaining in this context, which are not canonical but conformally canonical transformations. We propose how to implement conformally canonical transformations in quantum theory. Removal of the infrared regulator yields independence of ordering ambiguities.