Towards the determination of the dimension of the critical surface in asymptotically safe gravity
Towards the determination of the dimension of the critical surface in asymptotically safe gravity
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DOI：
10.1016/j.physletb.2020.135773
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发表时间：
2020-04
影响因子：
4.4
通讯作者：
K. Falls;N. Ohta;R. Percacci
中科院分区：
文献类型：
--
作者：
K. Falls;N. Ohta;R. Percacci
我们在泛函重整化群方法中计算了高阶导数引力的β函数，超越了以前研究的近似。我们发现，存在一个非平凡的牛顿耦合诱导，除了自由不动点的单圈近似，也有两个非平凡的不动点，其中一个有正确的标志是免费的快子。我们的结果是一致的早期建议的临界面的尺寸为纯引力是3。
We compute the beta functions of Higher Derivative Gravity within the Functional Renormalization Group approach, going beyond previously studied approximations. We find that the presence of a nontrivial Newtonian coupling induces, in addition to the free fixed point of the one-loop approximation, also two nontrivial fixed points, of which one has the right signs to be free from tachyons. Our results are consistent with earlier suggestions that the dimension of the critical surface for pure gravity is three.