论文标题
随机通货膨胀动态超出了慢速滚动和原始黑洞形成的后果
Stochastic inflationary dynamics beyond slow-roll and consequences for primordial black hole formation
论文作者
论文摘要
我们考虑量子扩散对超慢滚期期间通货膨胀动力学的影响，这对于原始黑洞的形成可能具有特殊意义。我们通过一种完全分析的方法表明，在线性水平上，在随机通货膨胀中计算出的合并曲率扰动的功率谱在线性水平上与求解Mukhanov-Sasaki方程获得的结果，即使在存在超弱滚动相的情况下，也可以通过求解。我们通过数值确认了该结果，其中充气具有多项式势并与RICCI标量耦合。在途中，我们评估量子噪声在存在超慢滚动阶段的作用，并在这种情况下阐明量子到古典过渡的问题。
We consider the impact of quantum diffusion on inflationary dynamics during an ultra-slow-roll phase, which can be of particular significance for the formation of primordial black holes. We show, by means of a fully analytical approach, that the power spectrum of comoving curvature perturbations computed in stochastic inflation matches precisely, at the linear level, the result obtained by solving the Mukhanov-Sasaki equation, even in the presence of an ultra-slow-roll phase. We confirm this result numerically in a model in which the inflaton has a polynomial potential and is coupled quadratically to the Ricci scalar. En route, we assess the role that quantum noise plays in the presence of an ultra-slow-roll phase, and clarify the issue of the quantum-to-classical transition in this scenario.
