标题： FLRW宇宙学在渐近安全引力中的截断尺度识别 显示英文标题

标题： On the Cutoff Scale Identification of FLRW Cosmology in Asymptotically Safe Gravity

摘要： 我们研究弗里德曼-勒梅特-罗伯逊-沃尔克宇宙学，通过引力有效作用量的泛函重整化群流引入量子引力修正。 我们微扰地求解包含非零经典宇宙常数（CC）情况下的爱因斯坦方程，这在文献中被忽略了。 我们讨论动量截断$k$与时间尺度的合适识别，并发现选择哈勃参数对于零宇宙常数是合适的，但对于非零宇宙常数则不是。 我们在这种情况下提出了合适的识别方式。 依赖于能量尺度的运行耦合打破了时间平移对称性，并引入了一个新的物理尺度。 显示英文摘要

摘要： We examine Friedmann-Lema\^itre-Robertson-Walker cosmology, incorporating quantum gravitational corrections through the functional renormalization group flow of the effective action for gravity. We solve the Einstein equation with quantum improved coupling perturbatively including the case with non-vanishing classical cosmological constant (CC) which was overlooked in the literatures. We discuss what is the suitable identification of the momentum cutoff $k$ with time scale, and find that the choice of the Hubble parameter is suitable for vanishing CC but not so for non-vanishing CC. We suggest suitable identification in this case. The energy-scale dependent running coupling breaks the time translation symmetry and then introduces a new physical scale.