发表机构
Université Libre de Bruxelles; International Solvay Institutes; Huazhong University of Science and Technology（布鲁塞尔自由大学; 国际索尔维研究所; 华中科技大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过Weyl张量的位置空间分析，推导了经典对数软引力子定理，并建立了对映匹配关系，独立证实了频率空间推导结果。
AI 中文摘要
我们利用Weyl张量的位置空间分析，推导了四维渐近平直时空中大质量粒子散射的经典对数软引力子定理。从谐和规范下的Iyer-Damour多极矩解出发，我们在$G$的线性阶以及$G^2$阶由物质诱导的领先对数阶上，获得了空间无穷远处所有五个Newman-Penrose Weyl标量的无限塔对映匹配关系。我们将与对数软定理相关的匹配关系与Boschetti-Campiglia和Compère-Robert的辐射规范表述联系起来。然后，我们直接从散射数据计算所需的渐近场，包括物质贡献和导致引力子拖拽的非线性效应。将这些结果与Newman-Penrose演化方程相结合，我们给出了经典领先阶和对数软引力子定理的位置空间证明，独立证实了Laddha和Sen最初进行的频率空间推导。
英文摘要
We derive the classical logarithmic soft graviton theorem for the scattering of massive particles in four-dimensional asymptotically flat spacetime using a position-space analysis of the Weyl tensor. Starting from the Iyer-Damour multipole solution in harmonic gauge, we obtain an infinite tower of antipodal matching relations across spatial infinity for all five Newman-Penrose Weyl scalars, at linear order in $G$ and for the leading matter-induced logarithms at order $G^2$. We connect the relation relevant to the logarithmic soft theorem to the radiative-gauge formulation of Boschetti-Campiglia and Compère-Robert. We then compute the required asymptotic fields directly from scattering data, including matter contributions and nonlinear effects responsible for graviton drag. Combining these results with the Newman-Penrose evolution equations yields position-space proofs of the classical leading and logarithmic soft graviton theorems, independently confirming the frequency-space derivation of the latter originally performed by Laddha and Sen.
Comments65 pages, 1 figure
