Construction and Application of new Cutoff Scheures for Asymptotically Safe Quantum Gravity

我们发展了有限模数型量子引力泛函积分的正则化格式，探索了它们的一般性质，并推导了离散重整化群时间下的泛函重整化群方程。第一个应用包括渐近安全量子引力不动点域的时空结构，以及从一个新的角度对宇宙常数问题的重新评估。

We develop new regularization schemes for quantum gravitational functional Integrals of the finite mode number type, explore their general properties, and derive the resulting functional renormalization group equations in discrete renormalization group time. First applications include the spacetime structure in the fixed point regime of asymptotically safe quantum gravity, and the reasessmentof the cosmological constant problem from a novel perspective.