论文标题
来自对称性和奇异性的宇宙相关器的分析计算
Analytical Computation of Cosmological Correlators from Symmetries and Singularities
论文作者
论文摘要
宇宙相关因子是宇宙学中非常重要的对象，因为它们为我们提供了早期宇宙的大量信息。它们驻留在De Sitter空间的未来边界上，可以通过两种方法来计算。第一种方法涉及我们的旧Lagrangian图片，我们在其中评估了散装时间积分，以在未来边界找到相关器。我们关注的主要主题的另一种方法是通过对未来边界的对称性和奇异性施加约束来找到相关因子。特别是，我们通过施加de de Sitter等法来获得相关器所满足的微分方程，这些异构体在未来的边界上像保形对称性一样。然后，我们通过从物理奇点的正确归一化和非物理构成的正确归一化来施加边界条件来分析求解这种微分方程。在此过程中，我们看到时间依赖背景的效果（例如粒子产生）的出现，并在相关器中获得了可观察到的签名。最后，我们将分析解决方案与数值解决方案进行比较。
Cosmological correlators are very important objects in cosmology as they offer us a huge amount of information of the early universe. They reside on the future boundary of a de Sitter space and can be calculated by two methods. First method involves our old Lagrangian picture where we evaluate the bulk time integrals to find the correlator at the future boundary. The other method which is our main topic of interest is to find the correlators by imposing constraints from symmetries and singularities on the future boundary. Particularly, we obtain the differential equation satisfied by the correlator by imposing de Sitter isometries which act on the future boundary just like the conformal symmetry. Then we analytically solve this differential equation by imposing boundary conditions coming from the correct normalization of the physical singularities and absence of the unphysical ones. In the process we see emergence of the effects of time dependent background like particle production and also obtain their observable signatures in the correlators. Finally we compare our analytical solution with the numerical ones.
