EikoGrav: Eikonal Exponentiation and Gravitational Waves

EikoGrav：程幂求幂和引力波

• 批准号: EP/X037312/1
• 负责人: Carlo Heissenberg
• 金额: $ 24.26万
• 依托单位: Queen Mary University of London
• 依托单位国家: 英国
• 项目类别: Fellowship
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FX037312%2F1
• 关键词: EikoGrav; Eikonal; Exponentiation; Gravitational; Waves

The astounding sensitivity of gravitational-wave (GW) detectors calls for high-precision wave-form calculations. Recently a new technique has emerged to this end: extracting the Post-Minkowskian (PM) limit of General Relativity (GR) from scattering amplitudes.This action focuses on the connection between amplitudes and GW physics via the eikonal resummation, whereby classical GR emerges via a resummation that turns the 2-to-2 amplitude into a rapidly oscillating eikonal phase. Eikonal methods have provedinstrumental in solving a recent puzzle concerning the high-energy behavior of black-hole collisions to 3PM order, bringing to the forefront the role of radiative corrections to the binary dynamics. The purpose of this action is twofold. First, we aim to extend the eikonal programme to 4PM order, complementing recent results by including the effects of radiation backreaction on the system and combining 2-to-2 amplitudes with real graviton emissions. The natural arena to investigate this problem is N=8 supergravity, where amplitudes are significantly simpler compared to GR, while most physical and conceptual challenges are still present. Clarifying the problem in N=8 will be instrumental to the inclusion of such effects in Einstein's gravity as well. Second, we plan to exploit eikonal methods to compute the effects of higher-derivative corrections to GR and to investigate the analytic continuation from gravitational scatterings to bound states, thus making contact with phenomenology. This proposal includes a detailed plan for the dissemination of the research results of the action, as well as for outreach initiatives aimed at diverse audiences ranging from the general public to graduate and undergraduate students. Moreover, a thorough training plan is outlined. It focuses on the development of the applicant as a research leader, teacher and manager. It aims to enhance his profile to the best standards, for the successful progression of his career beyond this action.

引力波（GW）探测器惊人的灵敏度要求高精度的波形计算。最近出现了一种新的技术：从散射振幅中提取广义相对论的后闵可夫斯基极限，该技术主要研究振幅与引力波物理之间通过程函重构的联系，经典广义相对论通过将2：2的振幅重构为快速振荡的程函相位而出现。Eikonal方法在解决最近关于3 PM级黑洞碰撞的高能行为的难题方面具有重要意义，使辐射修正对二元动力学的作用成为最前沿。这一行动有两个目的。首先，我们的目标是扩展程函程序到4 PM顺序，补充最近的结果，包括辐射反反应对系统的影响，并结合2- 2振幅与真实的引力子排放。研究这个问题的自然竞技场是N=8的超引力，其中的振幅与GR相比要简单得多，而大多数物理和概念上的挑战仍然存在。澄清N=8时的问题将有助于将这种效应也纳入爱因斯坦的引力中。其次，我们计划利用程函方法来计算高导数修正对GR的影响，并研究从引力散射到束缚态的解析延拓，从而与唯象学联系起来。该提案包括一项详细的计划，用于传播该行动的研究成果，以及针对从普通公众到研究生和本科生等各种受众的外联举措。此外，还制定了全面的培训计划。它侧重于申请人作为研究领导者，教师和管理者的发展。它的目的是提高他的形象，以最好的标准，为他的职业生涯的成功发展超越这一行动。