经典软定理与后牛顿展开
Classical soft theorems meet the post-Newtonian expansion
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中文总结 AI 辅助
该工作在后牛顿框架下研究致密双星引力波形的软结构，分离红外对数并建立引力记忆效应与Sahoo-Sen软定理的直接对应，同时探讨紫外对数及其重整化群跑动。
中文摘要 AI 辅助
经典软定理支配着低频区域电磁辐射和引力辐射的非解析结构，其中引力记忆效应为经典软引力子定理提供了典型实现。虽然双曲散射辐射的软行为已被充分理解，但其在引力束缚系统中的实现仍较少被探索。在本工作中，我们研究了致密双星系统产生的引力波形中的软结构，重点关注多极后牛顿框架下辐射在静态背景曲率上的散射。我们分离了与遗传效应（包括记忆尾效应）相关的红外（IR）对数，以及它们具有n次尾插入的更高阶推广。所得振幅在频域中展现出与Sahoo-Sen对数软定理一致的洛朗展开，从而建立了引力记忆效应、其高阶尾修正与软展开之间的直接对应关系。我们还讨论了由多极展开的短距离敏感性产生的紫外（UV）对数及其相关的重整化群跑动。
英文摘要
Classical soft theorems govern the non-analytic structure of electromagnetic and gravitational radiation in the low-frequency regime, with the gravitational memory effect providing the canonical realization of the classical soft graviton theorem. While the soft behavior of radiation from hyperbolic scattering is well understood, its realization in gravitationally bound systems remains less explored. In this work, we study the soft structure of gravitational waveforms generated by compact binaries, focusing on the scattering of emitted radiation off the static background curvature within the multipolar post-Newtonian framework. We isolate the infrared (IR) logarithms associated with hereditary effects, including the tail-of-memory, and their higher generalizations with n-tail insertions. The resulting amplitudes exhibit a Laurent expansion in frequency space consistent with the Sahoo-Sen logarithmic soft theorems, thereby establishing a direct correspondence between gravitational memory effects, their higher-order tail corrections, and the soft expansion. We also comment on ultraviolet (UV) logarithms arising from short-distance sensitivity of the multipole expansion and their associated renormalization-group running.
发表机构
- ICTP South American Institute for Fundamental Research（ICTP南美基础研究所）
- Instituto de Física Teórica UNESP - Universidade Estadual Paulista（圣保罗州立大学理论物理研究所）
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