发表机构
International Centre for Theoretical Sciences; School of Physical Sciences, Indian Association for the Cultivation of Science (IACS)(国际理论科学中心; 印度科学促进协会物理学院)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文在牛顿极限下推导出经典软引力子定理的前导对数尾部项的无限级数,并验证了现有全阶猜想在双粒子散射中的适用性,同时提出了超越牛顿极限的新猜想。
AI 中文摘要
经典软引力子定理旨在仅利用散射过程中物体的渐近动量,确定散射过程产生的引力波波形早期和晚期尾部中的某些项。在本文中,我们在牛顿极限下发现了前导对数尾部项的无限级数,其中入射和出射粒子运动缓慢,但散射本身可能剧烈。Alessio、Di Vecchia和Heissenberg的全阶猜想与我们的双粒子散射结果一致,但在初态或末态包含三个或更多粒子时,该猜想一般不成立。我们还提出了牛顿极限之外这些尾部的全阶猜想,但未证明。尽管如此,该猜想通过了若干非平凡的一致性检验。
英文摘要
The classical soft graviton theorem aims to determine certain terms in the early- and late-time tails of the gravitational waveform produced in a scattering process, using only the asymptotic momenta of the scattered objects. In this paper we find an infinite series of leading-logarithmic tail terms in the Newtonian limit, where the incoming and outgoing particles move slowly, but the scattering itself can be violent. The all-orders conjecture of Alessio, Di Vecchia and Heissenberg agrees with our results for two-particle scattering, but does not hold in general when the initial or final state contains three or more particles. We also propose an all-orders conjecture for these tails beyond the Newtonian limit, but do not prove it. Nevertheless, the conjecture passes several nontrivial consistency checks.
Comments32 pages plus references