Testing binary dynamics in gravity at the sixth post-Newtonian level
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Publication:821392
DOI10.1016/J.PHYSLETB.2020.135496zbMATH Open1473.83011arXiv2003.07145OpenAlexW3011137830MaRDI QIDQ821392
Author name not available (Why is that?)
Publication date: 20 September 2021
Published in: (Search for Journal in Brave)
Abstract: We calculate the motion of binary mass systems in gravity up to the sixth post--Newtonian order to the terms ab initio using momentum expansions within an effective field theory approach based on Feynman amplitudes in harmonic coordinates. For these contributions we construct a canonical transformation to isotropic and to EOB coordinates at 5PN and agree with the results in the literature cite{Bern:2019nnu,Damour:2019lcq}. At 6PN we compare to the Hamiltonians in isotropic coordinates either given in cite{Bern:2019nnu} or resulting from the scattering angle. We find a canonical transformation from our Hamiltonian in harmonic coordinates to cite{Bern:2019nnu}, but not to cite{Damour:2019lcq}. This implies that we also agree on all observables with cite{Bern:2019nnu} to the sixth post--Newtonian order to .
Full work available at URL: https://arxiv.org/abs/2003.07145
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