宇宙学CPT破坏对CMB极化的影响
Cosmological CPT violating effect on CMB polarization
摘要：
暗能量标量（或里奇标量的函数）与物质场的导数耦合，将在宇宙膨胀期间违反$CPT$对称性。这种宇宙学$CPT$破坏有助于产生重子数不对称性，并引起光子偏振的旋转，这在天体物理和宇宙学观测中，特别是在宇宙微波背景辐射实验中是可以测量到的。本文用完全广义相对论的方法导出了旋转角，并给出了用于宇宙微波背景数据分析的旋转公式。我们的公式包含了标量场空间涨落的修正。我们还估计了这些修正的幅度在一类动态暗能量模型的典型重子/leptogenesis。
英文摘要：
A dark energy scalar (or a function of the Ricci scalar) coupled with the derivative to the matter fields will violate the $CPT$ symmetry during the expansion of the Universe. This type of cosmological $CPT$ violation helps to generate the baryon number asymmetry and gives rise to the rotation of the photon polarization which can be measured in the astrophysical and cosmological observations, especially the experiments of the cosmic microwave background radiation. In this paper, we derive the rotation angle in a fully general relativistic way and present the rotation formulas used for the cosmic microwave background data analysis. Our formulas include the corrections from the spatial fluctuations of the scalar field. We also estimate the magnitude of these corrections in a class of dynamical dark energy models for quintessential baryo/leptogenesis.
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