Title: Is Quantum Einstein Gravity Nonperturbatively Renormalizable? Show Chinese title

Title: 量子爱因斯坦引力是否非微扰可重整化？

Abstract: We find considerable evidence supporting the conjecture that four-dimensional Quantum Einstein Gravity is ``asymptotically safe'' in Weinberg's sense. This would mean that the theory is likely to be nonperturbatively renormalizable and thus could be considered a fundamental (rather than merely effective) theory which is mathematically consistent and predictive down to arbitrarily small length scales. For a truncated version of the exact flow equation of the effective average action we establish the existence of a non-Gaussian renormalization group fixed point which is suitable for the construction of a nonperturbative infinite cutoff-limit. The truncation ansatz includes the Einstein-Hilbert action and a higher derivative term. Show Chinese abstract

Abstract: 我们发现有大量证据支持这样一个猜想，即四维量子爱因斯坦引力在温伯格的意义下是“渐近安全”的。这意味着该理论很可能具有非微扰可重整化性，因此可以被视为一个基本（而非仅仅是有效）的理论，在数学上是一致的，并且能够预测任意小长度尺度下的物理现象。对于有效平均作用量的精确流方程的一个截断版本，我们确立了一个非高斯的重整化群固定点的存在性，该固定点适合于构建非微扰无限截止极限。该截断假设包括爱因斯坦-希尔伯特作用量和一个高阶导数项。