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The 6th Post-Newtonian Potential Terms at $O(G_N^4)$

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arxiv 2101.08630 v1 pith:VH7BUZQT submitted 2021-01-21 gr-qc hep-th

classification gr-qchep-th
keywords citepotentialbernbinarybinicalculatecomparisonscontributions
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abstract

We calculate the potential contributions of the Hamiltonian in harmonic coordinates up 6PN for binary mass systems to $O(G_N^4)$ and perform comparisons to recent results in the literature \cite{Bern:2021dqo} and \cite{Bini:2020nsb}.

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Cited by 1 Pith paper

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  1. Local-in-Time Conservative Binary Dynamics at Fifth Post-Minkowskian and First Self-Force Orders

    hep-th 2025-06 conditional novelty 7.0 of 10

    The authors isolate the nonlocal tail part of the 5PM/1SF scattering angle and reconstruct a local-in-time Hamiltonian for generic bound orbits.

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