In this work we study a significantly enlarged truncation of conformally reduced quantum gravity in the context of Asymptotic Safety, including all operators that can be resolved in such a truncation including up to the sixth order in derivatives. A fixed point analysis suggests that there is no asymptotically safe fixed point in this system once one goes beyond an Einstein-Hilbert approximation. We will put these findings into context and discuss some lessons that can be learned from these results for general non-perturbative renormalisation group flows.

中文翻译：

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共形约简量子引力的教训

在这项工作中，我们研究了在渐近安全的背景下显着扩大的共形减少量子引力的截断，包括可以在这种截断中解决的所有算子，包括导数中的六阶。不动点分析表明，一旦超出爱因斯坦-希尔伯特近似，该系统中就没有渐近安全不动点。我们将把这些发现放在上下文中，并讨论一些可以从这些结果中学到的关于一般非微扰重整化群流的经验教训。