论文标题
与哈勃,实验室和通货膨胀量表物理学一致的渐近且安全的量子重力方案
Asymptotically free and safe quantum gravity scenarios consistent with Hubble, laboratory, and inflation scale physics
论文作者
论文摘要
为了找出与观察到的宇宙一致的量子重力的可能方案,我们通过数值研究了最近由Sen,Wetterich和Yamada(\ textit {Jhep {Jhep} 03(2022)130得出的一般二次引力理论的非扰动重新归一化组方程。作为边界条件,我们与哈勃尺度和实验室规模实验以及坦帕罗宾斯基通货膨胀模型施加一致性。我们发现两种轨迹在跨普兰克量表下采用了不同的制度:i)流向渐近自由度的轨迹,以及ii)轨迹,该轨迹流向渐近安全的制度。为了确定早期宇宙学场景,需要从均质和各向同性时空之外的其他观察数据。
To find out the possible scenarios for quantum gravity consistent with the observed universe, we numerically investigate the non-perturbative renormalization group equations of a general quadratic gravity theory recently derived by Sen, Wetterich and Yamada (\textit{JHEP} 03 (2022) 130). As boundary conditions, we impose consistency with the Hubble scale and the laboratory scale experiments, and the Starobinsky model of inflation. We find two kinds of trajectories which go to different regime at the trans-Planckian scales: i) a trajectory which flows to the asymptotically free regime, and ii) a trajectory which flows to the asymptotically safe regime. To determine the early-time cosmological scenario, an additional observational data from beyond the homogeneous and isotropic space-time is necessary.