标题： 重正规化原初黑洞 显示英文标题

标题： Renormalized Primordial Black Holes

摘要： 原始黑洞在早期宇宙中的形成可能是通过膨胀的非吸引子阶段产生的大曲率扰动的塌缩，或者是在膨胀后通过类似曲率子的动力学过程形成的。 由于这种小尺度曲率扰动通常是非高斯的这一事实，导致由平滑密度对比度构建的复合算符的重整化，并进入原始黑洞丰度计算中。 这种重整化引起了算符混合现象，并且导致了局部、非局部和高阶导数算符的无限塔状结构的出现，以及原始黑洞形成阈值的显著变化。 这表明原始黑洞丰度的计算比通常假设的更为复杂。 显示英文摘要

摘要： The formation of primordial black holes in the early universe may happen through the collapse of large curvature perturbations generated during a non-attractor phase of inflation or through a curvaton-like dynamics after inflation. The fact that such small-scale curvature perturbation is typically non-Gaussian leads to the renormalization of composite operators built up from the smoothed density contrast and entering in the calculation of the primordial black abundance. Such renormalization causes the phenomenon of operator mixing and the appearance of an infinite tower of local, non-local and higher-derivative operators as well as to a sizable shift in the threshold for primordial black hole formation. This hints that the calculation of the primordial black hole abundance is more involved than what generally assumed.