标题： 关于在无偏转的$D = 4$中 (sub)$^{n}$-领先软引力子定理的经典极限 显示英文标题

标题： On the classical limit of the (sub)$^{n}$-leading soft graviton theorems in $D = 4$ without deflection

摘要： 树级引力振幅满足无限层次的软因子分解定理。 这些定理的存在最近已被与无限塔渐近对称性的存在联系起来。 在本文中，我们分析了软引力子定理在四维经典引力散射背景下超越次领头阶的重要性。 更详细地说，我们表明，在经典散射期间发出的晚期时间引力场的无限碰撞参数极限可以使用这些因子分解定理来推导。 在此（无限碰撞参数）范围内获得的经典场在探测器频率上有展开，其中模式按$\omega^{n}\log{\omega}$的比例缩放，且具有消失的记忆。 显示英文摘要

摘要： Tree-level gravitational amplitudes satisfy an infinite hierarchy of soft factorization theorems. The existence of these theorems has been recently linked with the existence of an infinite tower of asymptotic symmetries. In this paper, we analyze the relevance of the soft graviton theorems beyond sub-leading order in the context of classical gravitational scattering in four dimensions. More in detail, we show that the infinite impact parameter limit of the late-time gravitational field emitted during a classical scattering can be derived using these factorization theorems. The classical field obtained in this (infinite impact parameter) regime has an expansion in the frequency of the detector where the modes scale as $\omega^{n}\log{\omega}$ with a vanishing memory.