标题： 关于渐近安全引力中相关算符的数量 显示英文标题

标题： On the number of relevant operators in asymptotically safe gravity

摘要： 引力的渐近安全场景假设（i）由于重整化群的非平凡紫外固定点的存在，引力的量子场论存在，并且（ii）该固定点只有有限数量的相关扰动，即有限数量的紫外稳定方向（或换句话说，有限数量的需要通过实验确定的自由参数）。在引力功能重整化群方程的f(R)近似下，我们表明，假设假设的第一部分为真，剩余部分可以从一般论证中得出，即我们证明了假设非平凡固定点的存在，相关方向的数量是有限的，这是方程结构的一般结果。 显示英文摘要

摘要： The asymptotic safety scenario of gravity conjectures that (i) the quantum field theory of gravity exists thanks to the presence of a non-trivial ultraviolet fixed point of the renormalization group, and that (ii) the fixed point has only a finite number of relevant perturbations, i.e. a finite number of UV-stable directions (or in other words, a finite number of free parameters to be fixed experimentally). Within the f(R) approximation of the functional renormalization group equation of gravity, we show that assuming the first half of the conjecture to be true, the remaining half follows from general arguments, that is, we show that assuming the existence of a non-trivial fixed point, the fact that the number of relevant directions is finite is a general consequence of the structure of the equations.