论文标题
在通货膨胀期间重新访问磁化
Revisiting Magnetogenesis during Inflation
论文作者
论文摘要
我们通过考虑电磁扰动的随机噪声的动力学来重新审视通货膨胀期间原始磁化的机制。我们为电磁场获得相关的Langevin和Fokker-Planck方程，并通过分析解决。结果表明，尽管电场能量密度的反应可能过早地破坏通胀，但是在某些参数空间区域中，磁场的通常衰减行为被随机动力学的平均撤退过程所取代。结果，磁场沉降到平衡状态，其振幅明显大于没有随机噪声而获得的平衡状态。我们表明，当前时间振幅$ \ sim 10^{ - 13} $高斯和连贯的长度$ {\ rm mpc} $可以生成当前时间振幅$ \ sim 10^{ - 13} $ {\ rm mpc} $，而电场扰动的反应正在控制。
We revisit the mechanism of primordial magnetogenesis during inflation by taking into account the dynamics of the stochastic noises of the electromagnetic perturbations. We obtain the associated Langevin and Fokker-Planck equations for the electromagnetic fields and solve them analytically. It is shown that while the backreactions of the electric field energy density may spoil inflation too early, but there are regions of parameter space where the usual decaying behavior of the magnetic fields are replaced by a mean-reverting process of stochastic dynamics. As a result, the magnetic fields settle down into an equilibrium state with the amplitude significantly larger than what is obtained in the absence of the stochastic noises. We show that magnetic fields with present time amplitude $\sim 10^{-13}$ Gauss and coherent length ${\rm Mpc}$ can be generated while the backreactions of the electric field perturbations are under control.
