论文标题
重建同谱通货膨胀潜力
Reconstructing homospectral inflationary potentials
论文作者
论文摘要
纯粹的几何论证表明，存在类似的谱系通货膨胀宇宙学，即产生相同的共同曲率扰动范围的不同扩展历史。我们开发了一种一般算法，以从任意扩展历史记录中重建最小耦合的单个标量场的潜力。我们将其应用于谱状扩展历史，以获得相应的电位，提供数值和分析示例。无限类别的谱系电位取决于两个自由参数，即初始能量尺度和磁场的初始值，表明通常不可能从曲率光谱中重建唯一电位，除非初始能量尺度和场值是固定的，例如通过观察原始引力波的观察。
Purely geometrical arguments show that there exist classes of homospectral inflationary cosmologies, i.e. different expansion histories producing the same spectrum of comoving curvature perturbations. We develop a general algorithm to reconstruct the potential of minimally-coupled single scalar fields from an arbitrary expansion history. We apply it to homospectral expansion histories to obtain the corresponding potentials, providing numerical and analytical examples. The infinite class of homospectral potentials depends on two free parameters, the initial energy scale and the initial value of the field, showing that in general it is impossible to reconstruct a unique potential from the curvature spectrum unless the initial energy scale and the field value are fixed, for instance through observation of primordial gravitational waves.
