论文标题
具有多个矢量场的原始磁场的通货膨胀磁化
Inflationary magnetogenesis of primordial magnetic fields with multiple vector fields
论文作者
论文摘要
在本文中，我们讨论了通货膨胀时代的多个向量场以及具有多个载体场的通货膨胀磁化。引入了向量场和标量场之间的耦合矩阵，而不是在单个向量场模型中进行单个耦合函数。获得多个向量场的动力方程并应用于通货膨胀时代。我们讨论了双场模型的三个案例。在没有相互耦合的情况下，人们可以发现，在通货膨胀结束时，电力和磁频谱都可以尺度不变，同时，可以避免强大的耦合问题。还讨论了不同矢量场之间相互耦合的效果。我们发现弱相互耦合可以导致磁场的略带蓝色光谱。另一方面，在强的相互耦合情况下，还可以获得尺度不变的磁频谱，但是电磁场的能量密度要么导致逆转问题，要么被通货膨胀稀释。
In this paper, we discussed the multiple vector fields during the inflation era and the inflationary magnetogenesis with multiple vector fields. Instead of a single coupling function in single vector field models, the coupling matrix between vector fields and scalar field which drive the inflation is introduced. The dynamical equations for multiple vector fields are obtained and applied to the inflation era. We discussed three cases for the double-field model. In no mutual-coupling case, one can find that both electric and magnetic spectrum can be scale-invariant at the end of inflation, meanwhile, the strong coupling problem can be avoided. The effect of mutual-coupling between different vector fields is also discussed. We found that weak mutual-coupling can lead to the slightly blue spectrum of the magnetic field. On the other hand, in the strong mutual-coupling case, the scale-invariant magnetic spectrum can also be obtained but the energy density of electromagnetic fields either lead to the backreaction problem or is diluted by inflation.
