# Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach

@article{Blumlein2020FourthPH, title={Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach}, author={Johannes Blumlein and Andreas Maier and Peter Marquard and Gerhard Schāfer}, journal={Nuclear Physics B}, year={2020} }

Abstract We calculate the motion of binary mass systems in gravity up to the fourth post–Newtonian order. We use momentum expansions within an effective field theory approach based on Feynman amplitudes in harmonic coordinates by applying dimensional regularization. We construct the canonical transformations to ADM coordinates and to effective one body theory (EOB) to compare with other approaches. We show that intermediate poles in the dimensional regularization parameter e vanish in the…

## 34 Citations

Three-Body Effective Potential in General Relativity at 2PM and Resulting PN Contributions

- Physics
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We study the Post-Minkowskian (PM) and Post-Newtonian (PN) expansions of the gravitational three-body effective potential. At order 2PM a formal result is given in terms of a differential operator…

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Abstract
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The initial phase of the inspiral process of a binary black-hole system can be described by perturbation theory. At the third post-Minkowskian order a two-loop double box graph, known as H-graph,…

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We study the effect of cubic and tidal interactions on the spectrum of gravitational waves emitted in the inspiral phase of the merger of two non-spinning objects. There are two independent…

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- 2021

Gihyuk Cho , 2, ∗ Sashwat Tanay , † Achamveedu Gopakumar, and Hyung Mok Lee 5 Deutsches Elektronen-Synchrotron DESY, Notkestrasse 85, 22607 Hamburg, Germany Korea Astronomy and Space Science…

Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order

- PhysicsPhysical Review D
- 2021

Accurate waveform models are crucial for gravitational-wave data analysis, and since spin has a significant effect on the binary dynamics, it is important to improve the spin description in these…

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