Higher Derivative Gravity and Asymptotic Safety in Diverse Dimensions
Higher Derivative Gravity and Asymptotic Safety in Diverse Dimensions
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不同维度下的更高导数引力和渐近安全性
DOI：
10.1088/0264-9381/31/1/015024
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发表时间：
2014
影响因子：
3.5
通讯作者：
Nobuyoshi Ohta and Roberto Percacci
中科院分区：
文献类型：
--
作者：
和田隆宏;浅野大雅;広兼宗諒;Shinji Tsujikawa;Nobuyoshi Ohta and Roberto Percacci
我们推导出一个引力理论的单圈β函数，一般的行动包含多达四个衍生物。计算是在任意维度和任意背景下进行的。详细讨论了三维、四维、近四维、五维和六维的特殊情况。在所有这些维度中，都存在非平凡的UV不动点（FP），这意味着在近似中存在渐近安全的轨迹。我们还发现一个迹象表明，Weyl不变FP存在于四维空间。三维空间中新的大质量引力并不对应于FP。
We derive the one-loop beta functions for a theory of gravity with generic action containing up to four derivatives. The calculation is done in arbitrary dimension and on an arbitrary background. The special cases of three, four, near four, five and six dimensions are discussed in some detail. In all these dimensions there are nontrivial UV fixed points (FPs), which mean that within the approximations there are asymptotically safe trajectories. We also find an indication that a Weyl-invariant FP exists in four dimensions. The new massive gravity in three dimensions does not correspond to a FP.