第五后闵可夫斯基阶的引力康普顿散射
Gravitational Compton scattering at the fifth post-Minkowskian order
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中文总结 AI 辅助
本研究在世界线量子场论框架下,推导第五后闵可夫斯基阶的经典引力康普顿振幅,通过与黑洞微扰理论匹配,证实史瓦西黑洞静态洛夫数为零。
中文摘要 AI 辅助
在世界线量子场论(Worldline Quantum Field Theory)框架下,我们得到了第五后闵可夫斯基阶($\boldsymbol{\rm{O}}(G^5)$)的经典引力康普顿振幅。在此阶下,点粒子描述必须补充领头阶静态潮汐算符。去除低阶迭代后,我们提取对应的N矩阵元并将其与黑洞微扰理论匹配。该匹配将静态潮汐威尔逊系数固定为零,为史瓦西黑洞的静态洛夫数消失提供了验证。
英文摘要
Working in the Worldline Quantum Field Theory framework, we obtain the classical gravitational Compton amplitude through the fifth post-Minkowskian order, $\mathcal{O}(G^5)$. At this order, the point-particle description must be supplemented by the leading static tidal operators. After removing lower-order iterations, we extract the corresponding $N$-matrix element and match it to black-hole perturbation theory. The matching fixes the static tidal Wilson coefficients to zero, providing confirmation of the vanishing static Love numbers of a Schwarzschild black hole.