论文标题
在Starobinsky和指数潜力的环路量子宇宙学的杂种和穿着的度量形式主义中的大量宇宙学扰动
Mass of cosmological perturbations in the hybrid and dressed metric formalisms of Loop Quantum Cosmology for the Starobinsky and exponential potentials
论文作者
论文摘要
杂种和着装的度量形式主义研究环路量子宇宙学中原始扰动的研究导致了这些扰动模式的动力学方程，这些扰动的模式为广义的谐波振荡器类型，其质量取决于背景，但对于所有模式都是相同的。对于在循环量子宇宙学的有效描述的轨迹上达到峰值的量子背景状态，在该质量的表达中发现了两个所考虑的形式主义之间的主要区别。弹跳处的质量值尤其重要，因为仅在此事件的短时间间隔间隔间隔，量子几何对扰动的影响是相关的。在上一篇文章中，讨论了该质量的特性，以具有二次形式的加速器潜力或具有相似特征。在目前的工作中，我们将这项研究扩展到了宇宙学的其他有趣潜力，即Starobinsky和指数潜力。我们证明，存在一个有限的电势值（包括零，但通常超出了动力学主导的充气能量密度），其杂交质量在反弹时为正，而打扮的度量质量为负。
The hybrid and the dressed metric formalisms for the study of primordial perturbations in Loop Quantum Cosmology lead to dynamical equations for the modes of these perturbations that are of a generalized harmonic-oscillator type, with a mass that depends on the background but is the same for all modes. For quantum background states that are peaked on trajectories of the effective description of Loop Quantum Cosmology, the main difference between the two considered formalisms is found in the expression of this mass. The value of the mass at the bounce is especially important, since it is only in a short interval around this event that the quantum geometry effects on the perturbations are relevant. In a previous article, the properties of this mass were discussed for an inflaton potential of quadratic form, or with similar characteristics. In the present work, we extend this study to other interesting potentials in cosmology, namely the Starobinsky and the exponential potentials. We prove that there exists a finite interval of values of the potential (which includes the zero but typically goes beyond the sector of kinetically dominated inflaton energy density) for which the hybrid mass is positive at the bounce whereas the dressed metric mass is negative.
