论文标题
多场超慢滚动通胀：直块和扭曲边界的原始黑洞
Multiple Field Ultra Slow Roll Inflation: Primordial Black Holes From Straight Bulk And Distorted Boundary
论文作者
论文摘要
我们研究了由田间空间中曲线界定的两场超慢滚（USR）通胀的模型。在USR阶段和边界上的不均匀性中，曲率扰动和非高斯都可以增强。我们采用完整的非线性$Δn$形式主义来计算非扰动曲率扰动的概率分布函数（PDF），并表明非线性效应可以显着增强原始黑洞（PBHS）的丰富性。对于较大的曲率扰动，PDF具有通用的指数尾巴，但是对于中间值，PDF - 因此，PBHS的丰度 - 敏感地取决于边界的几何形状。
We study a model of two-field ultra-slow-roll (USR) inflation bounded by a curve in the field space. Curvature perturbations and non-Gaussianities can be enhanced both during the USR phase and from the inhomogeneities at the boundary. We employ the full non-linear $δN$ formalism to calculate the probability distribution function (PDF) for curvature perturbation non-perturbatively and show that the non-linear effects can significantly enhance the abundance of the primordial black holes (PBHs). For large curvature perturbations, the PDF has a universal exponential tail, but for the intermediate values, the PDF -- and, therefore, the abundance of the PBHs -- depend sensitively on the geometry of the boundary.
