Abstract
Abstract
We exhibit an initial-value formulation of the worldline quantum field theory (WQFT) approach to the classical two-body problem in general relativity. We show that the Schwinger-Keldysh (in-in) formalism leads to purely retarded propagators in the evaluation of observables in the WQFT. Integration technology for retarded master integrals is introduced at third post-Minkowskian (3PM) order. As an application we compute the complete radiation-reacted impulse and radiated four momentum for the scattering of two non-spinning neutron stars including tidal effects at 3PM order, as well as the leading (2PM) far-field gravitational waveform.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference119 articles.
1. I. Newton, Philosophiæ naturalis principia mathematica, England (1687),
2. LIGO Scientific, Virgo and KAGRA collaborations, GWTC-3: compact binary coalescences observed by LIGO and Virgo during the second part of the third observing run, arXiv:2111.03606 [INSPIRE].
3. L. Blanchet, Gravitational radiation from post-Newtonian sources and inspiralling compact binaries, Living Rev. Rel. 17 (2014) 2 [arXiv:1310.1528] [INSPIRE]
4. G. Schäfer and P. Jaranowski, Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries, Living Rev. Rel. 21 (2018) 7 [arXiv:1805.07240] [INSPIRE].
5. T. Futamase and Y. Itoh, The post-Newtonian approximation for relativistic compact binaries, Living Rev. Rel. 10 (2007) 2 [INSPIRE].
Cited by
61 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献