论文标题
Feynman的随机通货膨胀相关器规则
Feynman Rules for Stochastic Inflationary Correlators
论文作者
论文摘要
我们详细介绍了描述膨胀过程中观众场随机动力学的功能积分，将其示意图扩展与直接从相应的langevin方程的扰动溶液获得的示意图扩展进行了比较。我们陈述了用于计算任意时间$ n $ point函数的Feynman规则，并对$ λϕ^4 $相互作用执行一些说明性计算，请注意路径积分中功能性雅各布决定因素的作用。我们还简要考虑了该场促进膨胀率的情况，这使噪声乘法引入了其他顶点。
We elaborate on the functional integral describing the stochastic dynamics of a spectator field during inflation, comparing its diagrammatic expansion to that obtained directly from a perturbative solution of the corresponding Langevin equation. We state Feynman rules for computing arbitrary temporal $n$-point functions and perform some illustrative computations for a $λϕ^4$ interaction, paying attention to the role played by a functional Jacobian determinant in the path integral. We also briefly consider the case when the field contributes to the expansion rate, making the noise multiplicative, which introduces additional vertices.
