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arXiv 2211.09489gr-qcastro-ph.CO
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SU($N$)-自然暴胀如何使宇宙各向同性?

How does SU($N$)-natural inflation isotropize the universe?

Tomoaki Murata, Tomohiro Fujita, Tsutomu Kobayashi

摘要:

研究了SU($N$)规范场耦合的赝标暴胀系统的均匀各向异性动力学。为了了解初始各向异性宇宙在这样的暴胀模型中是如何各向同性的,我们导出了在Bianchi I型几何中获得轴对称SU($N$)规范场组态的方程,并讨论了一种确定其各向同性子集的方法,这些子集是其后期吸引子的候选者.每个各向同性解由SU($N$)代数的相应SU(2)子代数表征。数值结果表明,在SU(3)规范场的情况下,各向同性宇宙是一个普适的晚时吸引子。有趣的是,我们发现在暴胀过程中,由不同SU(2)子代数表征的两种不同规范场组态之间会发生跃迁。我们澄清了这种情况发生的条件。这种转变可能会在宇宙微波背景和原始引力波背景上留下可观测的印记。

英文摘要:

We study the homogeneous and anisotropic dynamics of pseudoscalar inflation coupled to an SU($N$) gauge field. To see how the initially anisotropic universe is isotropized in such an inflation model, we derive the equations to obtain axisymmetric SU($N$) gauge field configurations in Bianchi type-I geometry and discuss a method to identify their isotropic subsets which are the candidates of their late-time attractor. Each isotropic solution is characterized by the corresponding SU(2) subalgebra of the SU($N$) algebra. It is shown numerically that the isotropic universe is a universal late-time attractor in the case of the SU(3) gauge field. Interestingly, we find that a transition between the two distinct gauge-field configurations characterized by different SU(2) subalgebras can occur during inflation. We clarify the conditions for this to occur. This transition could leave an observable imprint on the CMB and the primordial gravitational wave background.

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