A comparison of different choices of clocks in a reduced phase space quantization in loop quantum cosmology with an inflationary potential using effective techniques
A comparison of different choices of clocks in a reduced phase space quantization in loop quantum cosmology with an inflationary potential using effective techniques
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使用有效技术比较环量子宇宙学中减少相空间量化中时钟的不同选择与暴涨潜力
DOI：
10.1142/9789811269776_0352
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Singh, Parampreet
中科院分区：
文献类型：
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作者：
Giesel, Kristina;Li, Bao-Fei;Singh, Parampreet
我们回顾了最近的结果，这些结果将环量子宇宙学（LQC）的约化相空间量子化应用于空间平坦的弗里德曼-勒迈特-罗伯逊-步行者（FLRW）宇宙，该宇宙充满参考场和斯塔罗宾斯基暴胀势中的暴胀子场。我们考虑的所有三种模型都是双流体模型，它们的不同之处在于它们选择的全球时钟是高斯尘埃，布朗-库查西尘埃或无质量的克莱因-戈登标量场。虽然双流体模型比只涉及暴胀子的模型更复杂，但事实证明，传统量子宇宙学模型中的一些技术障碍可以在这些模型中绕过。使用有效的动力学减少相空间量子化，我们讨论了这些模型的一些现象学的影响，包括通过量子反弹的大爆炸奇点的决议，此外解决的问题，不同的时钟选择是否可以留下印记的暴胀动力学。
We review recent results that apply a reduced phase space quantization of loop quantum cosmology (LQC) for a spatially flat Friedmann-Lemaître-Robertson-Walker (FLRW) universe filled with reference fields and an inflaton field in a Starobinsky inflationary potential. All three models that we consider are two-fluid models and they differ by their choice of global clock which are chosen to be either Gaussian dust, Brown-Kuchař dust or a massless Klein-Gordon scalar field. Although two-fluid models are more complicated than models involving the inflaton only, it turns out that some of the technical hurdles in conventional quantum cosmological models can be bypassed in these models. Using the effective dynamics resulting from the reduced phase space quantization we discuss some phenomenological implications of these models including the resolution of the big bang singularity via a quantum bounce and in addition address the question whether different choices of clocks can leave an imprint on the inflationary dynamics.