AI 中文总结
本研究在几何光学近似下，通过将Magnusian提升为矩阵的形式体系计算黑洞波散射可观测量，发现引力有效场论中引力自旋霍尔效应与广义相对论定性不同，且黑洞自旋会增强对有效场论系数的因果约束。
AI 中文摘要
本研究在几何光学近似下，通过黑洞背景下的波散射可观测量，探究引力有效场论（EFTs）中黑洞自旋的效应。所考察的可观测量包括偏振旋转角、波数偏移（或偏转角）以及（Shapiro/Wigner–Smith）时间延迟，三者分别对应引力法拉第旋转、引力自旋霍尔效应与红外因果性。研究通过Magnusian形式体系从散射振幅计算这些可观测量，其中Magnusian被提升为矩阵以纳入螺旋度信息。结果发现：（1）由于“非对易”波数偏移的存在，引力EFTs中的引力自旋霍尔效应与广义相对论中的结果存在定性差异；（2）黑洞自旋会略微增强对EFT系数的因果性约束。
英文摘要
The effects of black hole's spin in effective field theories (EFTs) of gravity are explored through observables of wave scattering on black hole backgrounds in the geometric optics approximation. The considered observables are polarisation rotation angle, wavenumber kick (or deflection angle), and (Shapiro/Wigner--Smith) time delay, each of which are related to gravitational Faraday rotation, gravitational spin Hall effect, and infrared causality. The observables are computed from scattering amplitudes through the Magnusian formalism, where the Magnusian is promoted to a matrix to account for helicity information. It is found that (1) the gravitational spin Hall effect in EFTs of gravity are qualitatively different from that of general relativity due to "noncommutative" wavenumber kicks, and (2) black hole's spin slightly enhances the causality constraints on EFT coefficients.
Comments35 pages, 22 figures
