论文标题
SU（$ n $）如何 - 自然通货膨胀各向同性化？
How does SU($N$)-natural inflation isotropize the universe?
论文作者
论文摘要
我们研究了伪级通胀的均质和各向异性动力学，并耦合到SU（$ n $）量规场。要查看最初在这种通货膨胀模型中如何将各向异性宇宙各向同性，我们得出了在Bianchi I型几何形状中获得轴对称SU（$ n $）仪表仪配置的方程式，并讨论了一种方法来识别其同型子集的方法，这是他们的晚期吸引者的候选者。每种各向同性溶液的特征是SU（$ n $）代数的相应SU（2）子代数。从数值上看，各向同性宇宙是SU（3）仪表场的通用后期吸引子。有趣的是，我们发现在通货膨胀期间可能发生以不同的SU（2）亚呼吸道为特征的两个不同的轨距场构型之间的过渡。我们阐明了发生这种情况的条件。这种过渡可能会在CMB和原始引力波背景上留下可观察到的烙印。
We study the homogeneous and anisotropic dynamics of pseudoscalar inflation coupled to an SU($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.
