论文标题
使用LSS的一致性关系对偏置示踪剂的扰动描述
Perturbative description of bias tracers using consistency relations of LSS
论文作者
论文摘要
我们开发了一种简单的形式主义，以使我们的偏见示踪剂$ \ mathit {monkey \ bias} $。在这种形式主义中，直接根据线性物质波动和作用于其作用的衍生算子的集合直接构建了一个有偏见的示踪剂场。首先，基于偏置示踪剂的非线性动力学方程的一般结构来组织这种偏置扩展。像等效原理一样，进一步的物理条件是利用一致性关系的树级相关器。在广义$λ$ CDM背景中，我们获得了线性物质波动中三阶的偏置扩展，从而重现了EDS宇宙极限的先前结果。我们偏置操作员基础的算法结构非常适合扩展到高阶偏置场。此外，这种形式主义揭示了广义$λ$ CDM背景中的有偏见的示踪动力学并不完全与其他偏见参数归类，因此可以通过观察到有偏见的示踪剂来测试背景宇宙学。
We develop a simple formalism of biased tracers that we dub $\mathit{Monkey\ bias}$. In this formalism, a biased tracer field is constructed directly in terms of the linear matter fluctuation field and the set of derivative operators acting on it. Such bias expansion is first organized based on the general structure of non-linear dynamical equations for the biased tracers. Further physical conditions, like the equivalence principle, are imposed on tree-level correlators utilising the consistency relations. We obtain the bias expansion up to the third-order in linear matter fluctuation in the generalized $Λ$CDM background, which reproduces the previous results in the limit of the EdS universe. This algorithmic construction of our bias operator basis is well suited for extensions towards higher-order bias fields. Moreover, this formalism reveals that biased tracer dynamics in generalized $Λ$CDM background is not entirely degenerate with the rest of bias parameters, thus opening a possibility of testing the background cosmology through the observations of biased tracers.
