Local quantum gravity
Local quantum gravity
复制标题
DOI：
10.1103/physrevd.92.121501
复制
发表时间：
2015-12-21
影响因子：
5
通讯作者：
Reichert, M.
中科院分区：
文献类型：
--
作者：
Christiansen, N.;Knorr, B.;Reichert, M.
我们在功能重整化群方法中研究了量子引力的紫外行为。目前的设置包括完整的鬼态和引力子传播子，并且首次包含了动态引力子三点函数。后者提供了动力引力子耦合的途径，并使系统最低限度地自洽。所得相图证实了具有非平凡紫外不动点的量子引力渐近安全情景。明确定义的威尔逊块旋转要求动量空间中流动的局部性。这个性质是在群流的功能重整化背景下讨论的。我们证明了引力子相关函数的动量局部性与微分同态不变性是非平凡的联系，并在本装置中得以实现。
We investigate the ultraviolet behavior of quantum gravity within a functional renormalization group approach. The present setup includes the full ghost and graviton propagators and, for the first time, the dynamical graviton three-point function. The latter gives access to the coupling of dynamical gravitons and makes the system minimally self-consistent. The resulting phase diagram confirms the asymptotic safety scenario in quantum gravity with a nontrivial UV fixed point. A well-defined Wilsonian block spinning requires locality of the flow in momentum space. This property is discussed in the context of functional renormalization group flows. We show that momentum locality of graviton correlation functions is nontrivially linked to diffeomorphism invariance, and is realized in the present setup.