Correlation functions on a curved background
Correlation functions on a curved background
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弯曲背景上的相关函数
DOI：
10.1103/physrevd.96.065020
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发表时间：
2017
影响因子：
5
通讯作者：
S. Lippoldt
中科院分区：
文献类型：
--
作者：
B. Knorr;S. Lippoldt
利用非微扰重整化群方法研究了弯曲背景下的引力相关函数。推导了11个联轴器的Beta函数，其中两个对应于运行仪表参数。发现了一个独特的紫外不动点，适合于在渐近安全意义上的紫外补全。为了得到弯曲背景下的良好流动，必须仔细选择正则化。在目前的近似中，我们提供了两种可接受的选择来解决这个问题。我们进一步通过显式计算证明了朗道极限也是量子引力的不动点，并进一步证明了在这个极限下，规范参数不流动。
We investigate gravitational correlation functions in a curved background with the help of nonperturbative renormalization group methods. Beta functions for eleven couplings are derived, two of which correspond to running gauge parameters. A unique ultraviolet fixed point is found, suitable for a UV completion in the sense of Asymptotic Safety. To arrive at a well-behaved flow in a curved background, the regularization must be chosen carefully. We provide two admissible choices to solve this issue in the present approximation. We further demonstrate by an explicit calculation that the Landau limit is a fixed point also for quantum gravity, and additionally show that in this limit, the gauge parameterdoes not flow.