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arXiv 1306.1150astro-ph.CO
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具有多个向量场和/或延长各向异性展开的暴胀模型的统计各向异性

Statistical Anisotropy in Inflationary Models with Many Vector Fields and/or Prolonged Anisotropic Expansion

L. Gabriel Gomez, Yeinzon Rodriguez

摘要:

我们研究了由于标量场扰动,矢量场扰动和各向异性膨胀的统计各向异性的原始曲率微扰的产生最一般的贡献。这样的研究是使用δN形式主义,其中只考虑线性项。在这里,我们考虑两种特定的情况下,导致确定功率谱的原始曲率扰动。在第一个,我们考虑的可能性,在实空间中的场扰动的n-点算子在空间中的旋转下是不变的(统计各向同性);因此,我们得到尽可能多的水平的统计各向异性的矢量场,因此,几个首选方向。第二种可能性出现时,我们考虑各向异性的扩展,这使我们获得I+a的额外贡献的统计各向异性的生成相比,前者的情况下,是I和a的数量的标量和矢量场分别参与。

英文摘要:

We study the most general contributions due to scalar field perturbations, vector field perturbations, and anisotropic expansion to the generation of statistical anisotropy in the primordial curvature perturbation ζ. Such a study is done using the δN formalism where only linear terms are considered. Here, we consider two specific cases that lead to determine the power spectrum P_ζ(k) of the primordial curvature perturbation. In the first one, we consider the possibility that the n-point correlators of the field perturbations in real space are invariant under rotations in space (statistical isotropy); as a result, we obtain as many levels of statistical anisotropy as vector fields present and, therefore, several preferred directions. The second possibility arises when we consider anisotropic expansion, which leads us to obtain I+a additional contributions to the generation of statistical anisotropy of ζcompared with the former case, being I and a the number of scalar and vector fields involved respectively.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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