论文标题
量子宇宙学倾斜和暗物质的起源
The quantum cosmological tilt and the origin of dark matter
论文作者
论文摘要
一个有希望的冷暗物质候选者是由强原始量子波动形成的原始黑洞（PBH）。形成PBH的必要条件是倾斜的符号变化，该符号管理功率谱的异常尺度的不变性从红色的大尺度到蓝色，在小尺度上。可以从测量定义DE Sitter真空的量子相位的量子依赖性的量子信息中提取有关功率谱对能量量表的依赖性的非扰动信息。我们表明，这种非扰动的量子倾斜从大尺度的红色倾斜相位为蓝色倾斜相，在紫外线中的$ n_s = 2 $的小尺度上。这允许在质量$ \ Lessim 10^{20} gr $的范围内形成PBH。
A promising candidate for cold dark matter is primordial black holes (PBH) formed from strong primordial quantum fluctuations. A necessary condition for the formation of PBH's is a change of sign in the tilt governing the anomalous scale invariance of the power spectrum from red at large scales into blue at small scales. Non-perturbative information on the dependence of the power spectrum tilt on energy scale can be extracted from the quantum Fisher information measuring the energy dependence of the quantum phases defining the de Sitter vacua. We show that this non-perturbative quantum tilt goes from a red tilted phase, at large scales, into a blue tilted phase at small scales converging to $n_s=2$ in the UV. This allows the formation of PBH's in the range of masses $\lesssim 10^{20} gr$.
