论文标题
宇宙学张量场的综合扰动理论。 ii。循环校正
Integrated perturbation theory for cosmological tensor fields. II. Loop corrections
论文作者
论文摘要
在上一篇论文[ARXIV：2210.10435]中，宇宙学密度场的非线性扰动理论被推广为包括天文对象的张张值偏置，例如星系的旋转和形状，例如与我们可以观察的对象相关联的任何其他任意等级的张紧器。我们应用这种新开发的方法来显式计算实际空间和红移空间中的非线性功率谱和相关功能。由于形式主义的球形基础，使用循环校正中出现的多维积分缩小为一维Hankel变换的组合，并且最终表达式在很短的时间内使用快速傅立叶变换的算法在很短的时间内进行了数值评估，例如\ textSc {fftlog}。作为一个说明性的示例，用简单的张量偏置模型证明了对级别-2张量场的循环校正和相关函数的数值评估。
In the previous paper [arXiv:2210.10435], the nonlinear perturbation theory of cosmological density field is generalized to include the tensor-valued bias of astronomical objects, such as spins and shapes of galaxies and any other tensors of arbitrary ranks which are associated with objects that we can observe. We apply this newly developed method to explicitly calculate nonlinear power spectra and correlation functions both in real space and in redshift space. Multi-dimensional integrals that appear in loop corrections are reduced to combinations of one-dimensional Hankel transforms, thanks to the spherical basis of the formalism, and the final expressions are numerically evaluated in a very short time using an algorithm of the fast Fourier transforms such as \textsc{FFTLog}. As an illustrative example, numerical evaluations of loop corrections of the power spectrum and correlation function of the rank-2 tensor field are demonstrated with a simple model of tensor bias.
