论文标题
宇宙通货膨胀作为重新归当的流量:量子重力中功率谱的运行
Cosmic inflation as a renormalization-group flow: the running of power spectra in quantum gravity
论文作者
论文摘要
我们研究了通货膨胀宇宙学中功率谱的运行,这是来自DE Sitter固定点的重新归一化组流量。 Beta函数由背景度量的方程式提供。标量和张量波动的光谱遵守了RG演化方程,随着超级措施极限的异常尺寸消失。通过按照领先和转向的日志来组织扰动扩展,我们计算了光谱指数,它们的运行,运行等的运行等,以使用假子的量子重力(即理论$ r+r+r+r^{2}+c^{2}+c^{2} $ with the faceports/provceptive $ c^$ c^$ c^$ c^$ c^$ c^$ c^$ c^$ c^$ c^$ c^$ c^$ c^$ c^$ c^$ c^我们表明,这些数量以普遍的方式与光谱有关。我们还将第一个校正计算为关系$ r = -8n_ {t} $,并提供了许多量子重力预测,希望可以在即将到来的未来进行测试。
We study the running of power spectra in inflationary cosmology as a renormalization-group flow from the de Sitter fixed point. The beta function is provided by the equations of the background metric. The spectra of the scalar and tensor fluctuations obey RG evolution equations with vanishing anomalous dimensions in the superhorizon limit. By organizing the perturbative expansion in terms of leading and subleading logs, we calculate the spectral indices, their runnings, the runnings of the runnings, etc., to the next-to-leading log order in quantum gravity with fakeons (i.e., the theory $R+R^{2}+C^{2}$ with the fakeon prescription/projection for $C^{2}$). We show that these quantities are related to the spectra in a universal way. We also compute the first correction to the relation $r=-8n_{T}$ and provide a number of quantum gravity predictions that can be hopefully tested in the forthcoming future.