AI 中文总结
该论文运用量子场论方法研究超越广义相对论的经典引力,推导了多种引力可观测量并构造天体 eikonal 振幅,拓展了量子场论在引力动力学中的应用。
AI 中文摘要
本论文研究超越广义相对论的经典引力的量子场论方法,采用世界线有效场论、世界线量子场论和壳上散射振幅,探究暗区模型、标量张量引力、动力学陈-西蒙斯引力及爱因斯坦-麦克斯韦-伸缩子理论中的致密天体动力学。论文推导了一系列保守和辐射可观测量,包括冲量、波形、 eikonal 相位、两体势和散射角,同时纳入自旋、宇称破缺、红外结构及多圈积分相关效应;还构造了天体 eikonal 振幅,并分析了其在超越广义相对论的引力理论中的共形数据。总体而言,这些结果拓展了现代量子场论技术在引力动力学中的应用,有助于更深入理解超越爱因斯坦框架的引力。(论文中有详细摘要)
英文摘要
This thesis investigates quantum field theoretic approaches to classical gravity beyond General Relativity. Using worldline effective field theory, worldline quantum field theory, and on shell scattering amplitudes, it investigates compact-object dynamics in dark-sector models, scalar tensor gravity, dynamical Chern Simons gravity, and Einstein Maxwell dilaton theory. The thesis derives a range of conservative and radiative observables, including impulses, waveforms, eikonal phases, two-body potentials, and scattering angles, while incorporating effects associated with spin, parity violation, infrared structure, and multi-loop integrals. It also constructs celestial eikonal amplitudes and analyzes their conformal data in gravitational theories beyond General Relativity. Collectively, these results broaden the application of modern quantum field theoretic techniques to gravitational dynamics and contribute to a more detailed understanding of gravity beyond the Einsteinian framework. (Detailed abstract in the thesis.)
CommentsPh.D. thesis, 342 pages, Advisor: Dr. Arpan Bhattacharyya, Submitted at Indian Institute of Technology Gandhinagar, Largely based on: arXiv: 2305.15473 [hep-th], arXiv: 2401.05492 [hep-th], arXiv: 2407.07195 [hep-th], arXiv: 2505.02899 [hep-th], arXiv: 2510.07390 [hep-th]