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arXiv 1502.03292hep-th
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四维量子爱因斯坦引力中是否存在$C$ -函数?

Is there a $C$-function in 4D Quantum Einstein Gravity?

Daniel Becker, Martin Reuter

摘要:

我们描述了一种基于泛函重整化群的方法来寻找具有类似于二维共形场论中的性质的“类$C$”函数。它利用了有效平均作用的模式计数特性,特别适合于包括量子化引力在内的理论。该方法的可行性在四维量子爱因斯坦引力(即渐近安全的度量引力)的截断中得到了明确的证明。

英文摘要:

We describe a functional renormalization group-based method to search for `$C$-like' functions with properties similar to that in 2D conformal field theory. It exploits the mode counting properties of the effective average action and is particularly suited for theories including quantized gravity. The viability of the approach is demonstrated explicitly in a truncation of 4 dimensional Quantum Einstein Gravity, i.e. asymptotically safe metric gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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