We present a general framework to systematically study the derivative expansion of asymptotically safe quantum gravity. It is based on an exact decoupling and cancellation of different modes in the Landau limit, and implements a correct mode count as well as a regularisation based on geometrical considerations. It is applicable independent of the truncation order. To illustrate the power of the framework, we discuss the quartic order of the derivative expansion and its fixed point structure as well as physical implications.

中文翻译：

---

渐近安全量子引力的导数展开：一般设置和四次阶

我们提出了一个通用框架来系统地研究渐近安全量子引力的导数展开。它基于朗道极限中不同模式的精确解耦和消除，并基于几何考虑实现正确的模式计数和正则化。它独立于截断顺序而适用。为了说明该框架的强大功能，我们讨论了导数展开的四次阶及其不动点结构以及物理含义。