标题： 渐近安全引力中的固定泛函 显示英文标题

标题： Fixed Functionals in Asymptotically Safe Gravity

摘要： 我们总结了在三维时空量子爱因斯坦引力的f(R)截断中构建固定泛函的现状。 聚焦于远大于IR截止尺度的曲率，证明固定点方程存在三种不同的标度区域：对于经典和量子主导情况，方程变为线性并具有幂律解，而平衡情况则产生一个广义的齐次方程，其阶数降低一阶，且解是非解析的。 显示英文摘要

摘要： We summarize the status of constructing fixed functionals within the f(R)-truncation of Quantum Einstein Gravity in three spacetime dimensions. Focusing on curvatures much larger than the IR-cutoff scale, it is shown that the fixed point equation admits three different scaling regimes: for classical and quantum dominance the equation becomes linear and has power-law solutions, while the balanced case gives rise to a generalized homogeneous equation whose order is reduced by one and whose solutions are non-analytical.