论文标题
动力学耦合模型中磁化的梯度扩展形式主义
Gradient expansion formalism for magnetogenesis in the kinetic coupling model
论文作者
论文摘要
为了描述动力学耦合模型中通货膨胀期间的磁化，我们利用梯度膨胀，该梯度扩展基于以下事实：只有长波长（超级方）模式才能得到放大。为此，我们引入了一组功能（具有任意数量的空间卷曲的电磁场的双线性组合），可满足无限的方程链。除了由于与充气量的相互作用而导致的通常模式增强外，这些方程还考虑到相关模式在通货膨胀期间不断增长的事实。截断了这条链，我们表明，即使有相对较少的方程式，也可以在整个通货膨胀阶段描述以百分之几的精度来描述电能和磁能密度。我们得出了在较强的反应及其缺失方面的不同类型的耦合函数（增加，减少和非单调）的结论。
In order to describe magnetogenesis during inflation in the kinetic coupling model, we utilize a gradient expansion which is based on the fact that only long-wavelength (superhorizon) modes undergo amplification. For this purpose, we introduce a set of functions (bilinear combinations of electromagnetic fields with an arbitrary number of spatial curls) satisfying an infinite chain of equations. Apart from the usual mode enhancement due to interaction with the inflaton, these equations also take into account the fact that the number of relevant modes constantly grows during inflation. Truncating this chain, we show that even with a relatively small number of equations, it is possible to describe the electric and magnetic energy densities with a few percent accuracy during the whole inflation stage. We arrive at this conclusion for different types of coupling functions (increasing, decreasing, and nonmonotonic) in the regime with strong backreaction and its absence.
