总角动量形式下的宇宙学扰动方程
Cosmological-perturbation equations from the total-angular-momentum formalism
- Johns Hopkins University（约翰斯·霍普金斯大学）
- Dartmouth College（达特茅斯学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文利用总角动量波推导宇宙学扰动线性演化方程，得到CMB温度和偏振传递函数的积分方程及Boltzmann层级，并探讨宇宙双折射效应及其对温度涨落的微妙影响。
AI中文摘要：
我们利用总角动量（TAM）波推导了宇宙学扰动线性演化的方程。首先将宇宙微波背景的温度和偏振传递函数推导为积分方程，并由此分别获得标量和张量扰动的通常Boltzmann微分方程层级。我们包含了各向同性宇宙双折射效应，并讨论了各向异性宇宙双折射。我们注意到宇宙双折射对温度涨落的一个微妙影响。TAM推导为先前获得的结果提供了物理见解。
英文摘要：
We derive the equations for the linear evolution of cosmological perturbations using total-angular-momentum (TAM) waves. The cosmic microwave background temperature and polarization transfer functions are first derived as integral equations and from these the usual Boltzmann hierarchy of differential equations are then obtained for both scalar and tensor perturbations. We include the effects of isotropic cosmic birefringence and discuss anisotropic cosmic birefringence. We note a subtle effect of cosmic birefringence on temperature fluctuations. The TAM derivation of the equations provides physical insights to results obtained previously.
