论文标题
$ 1/n $扩展在Sitter Spacetime中的随机字段
The $1/N$ expansion for stochastic fields in de Sitter spacetime
论文作者
论文摘要
我们提出了$ 1/n $扩展Starobinsky和Yokoyama在De Sitter Spacetime中超级尺度尺度上轻量子场的有效随机方法。我们明确计算了o（$ n $）的fokker-planck操作员的频谱和特征函数 - 对称理论，在此扩展中，具有四分之一的自我互动，并在领先和偶然的领先顺序中进行了Quartic Selftaction。就相互作用耦合常数而言，我们获得了在各种非驱动性方面有效的简单分析表达式。
We propose a $1/N$ expansion of Starobinsky and Yokoyama's effective stochastic approach for light quantum fields on superhorizon scales in de Sitter spacetime. We explicitly compute the spectrum and the eigenfunctions of the Fokker-Planck operator for a O($N$)-symmetric theory with quartic selfinteraction at leading and next-to-leading orders in this expansion. We obtain simple analytical expressions valid in various nonperturbative regimes in terms of the interaction coupling constant.
