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arXiv 1707.01397hep-th
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弯曲背景上的关联函数

Correlation functions on a curved background

Benjamin Knorr, Stefan Lippoldt

摘要:

利用非微扰重整化群方法研究了弯曲背景下的引力关联函数。导出了十一个联轴器的贝塔函数,其中两个对应于运行规范参数。找到了一个唯一的紫外不动点,它适合于渐近安全意义下的紫外完备化。为了在弯曲的背景中得到良好的流动,必须仔细选择正则化。我们提供了两个可接受的选择来解决这个问题,在目前的近似。我们进一步通过显式计算证明了朗道极限对于量子引力也是一个不动点,并且还证明了在这个极限中规范参数$β$不流动.

英文摘要:

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 parameter $β$ does not flow.

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