标题： in-in关联函数的切割规则和宇宙学探测器 显示英文标题

标题： Cutting rule for in-in correlators and cosmological collider

摘要： 我们基于Keldysh$r/a$基础推导出一种等时in-in关联函数的切割规则，包括宇宙学关联函数，该规则将图分解为完全滞后函数和由Wightman函数组成的切割传播子。 我们的推导仅依赖于单位性、局部性和in-in形式主义的因果结构等基本假设，因此适用于任意粒子内容和局部相互作用在任何环序下的理论。 作为应用，我们表明在微观因果性的假设下，非局部宇宙学碰撞器信号仅来自切割传播子。 由于切割传播子不包含(反)时间序θ函数，共形时间积分被分离，简化了实际计算。 显示英文摘要

摘要： We derive a cutting rule for equal-time in-in correlators including cosmological correlators based on Keldysh $r/a$ basis, which decomposes diagrams into fully retarded functions and cut-propagators consisting of Wightman functions. Our derivation relies only on basic assumptions such as unitarity, locality, and the causal structure of the in-in formalism, and therefore holds for theories with arbitrary particle contents and local interactions at any loop order. As an application, we show that non-local cosmological collider signals arise solely from cut-propagators under the assumption of microcausality. Since the cut-propagators do not contain (anti-)time-ordering theta functions, the conformal time integrals are factorized, simplifying practical calculations.