论文标题
宇宙学张量场的综合扰动理论。 I.基本公式
Integrated perturbation theory for cosmological tensor fields. I. Basic formulation
论文作者
论文摘要
为了从宇宙的大规模结构中提取有关宇宙学的最大信息，需要使用可以观察到的所有信号。除了天文对象的空间分布外，张量场的空间相关性（例如星系旋转和形状）是在不久的将来进行的大型调查时代可以访问的有希望来源的。扰动理论是一种强大的工具，可以分析描述给定宇宙学大规模上相关统计的行为和演变。在本文中，我们基于标量值偏置的综合扰动理论的制定，制定了张量场的非线性扰动理论，将其推广到包括张量值偏置。为了利用旋转对称性，形式主义是基于张量的不可约合分解来构建的，识别物理变量在坐标系统旋转下是不变的。
In order to extract maximal information about cosmology from the large-scale structure of the Universe, one needs to use every bit of signal that can be observed. Beyond the spatial distributions of astronomical objects, the spatial correlations of tensor fields, such as galaxy spins and shapes, are ones of promising sources that can be accessed in the era of large surveys in the near future. The perturbation theory is a powerful tool to analytically describe the behaviors and evolutions of correlation statistics on large scales for a given cosmology. In this paper, we formulate a nonlinear perturbation theory of tensor fields in general, based on the formulation of integrated perturbation theory for the scalar-valued bias, generalizing it to include the tensor-valued bias. To take advantage of rotational symmetry, the formalism is constructed on the basis of the irreducible decomposition of tensors, identifying physical variables which are invariant under the rotation of the coordinates system.
