论文标题
标量相关函数在DE Sitter空间中具有双孔电位
Scalar correlation functions for a double-well potential in de Sitter space
论文作者
论文摘要
我们使用随机Starobinsky-Yokoyama方法的光谱表示来计算具有对称或不对称双孔电位的标量场中的DE Sitter空间中的相关函数。光谱膨胀中的术语由时间独立于fokker-planck差异操作员的特征值和特征函数确定，我们以数值求解它们。长距离渐近行为由频谱中的最低状态给出，但我们证明了不同项的系数的幅度可能非常不同，并且相关器可以在不同距离下的不同项主导。这可能导致潜在的可观察到的宇宙学特征。在许多情况下，扩展中的主要状态与最低潜力的微小波动不符，因此在扰动理论中不可见。我们讨论了这些状态的物理解释，即使潜力只有一个最小值，也可以存在。
We use the spectral representation of the stochastic Starobinsky-Yokoyama approach to compute correlation functions in de Sitter space for a scalar field with a symmetric or asymmetric double-well potential. The terms in the spectral expansion are determined by the eigenvalues and eigenfunctions of the time-independent Fokker-Planck differential operator, and we solve them numerically. The long-distance asymptotic behaviour is given by the lowest state in the spectrum, but we demonstrate that the magnitude of the coeffients of different terms can be very different, and the correlator can be dominated by different terms at different distances. This can give rise to potentially observable cosmological signatures. In many cases the dominant states in the expansion do not correspond to small fluctuations around a minimum of the potential and are therefore not visible in perturbation theory. We discuss the physical interpretation these states, which can be present even when the potential has only one minimum.
