Abstract 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.

中文翻译：

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渐近安全重力临界面维数的确定

摘要 我们在功能重整化群方法中计算了高导引力的 beta 函数，超越了先前研究的近似值。我们发现，除了单环近似的自由不动点之外，非平凡牛顿耦合的存在还诱导了两个非平凡不动点，其中一个具有正确的符号可以摆脱快子。我们的结果与早先的建议一致，即纯重力的临界表面尺寸为 3。