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Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
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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 $\varepsilon$ vanish in the observables and the classical theory is not renormalized. The results are illustrated for a series of observables for which we agree with the literature.
Forward citations
Cited by 4 Pith papers
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Schott term in the binding energy for compact binaries on circular orbits at fourth post-Newtonian order
At 4PN order, the binding energy in the flux-balance law differs from the conservative energy by a hereditary 'pseudo-Schott' term, which exactly reproduces the previously postulated energy-frequency relation and conf...
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Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order
The conservative black-hole scattering angle at fifth post-Minkowskian and second self-force order is computed in terms of K3 periods, but contains a coefficient fixed only by an ad hoc 'γ-3' prescription.
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Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates
The 4.5PN radiation-reaction acceleration of nonspinning compact binaries is derived in harmonic coordinates, including a dimensional-regularization pole, and is shown to satisfy flux-balance laws and Lorentz invariance.
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Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order
A fourth post-Newtonian gauge-invariant instability criterion for binary circular orbits is derived, giving the ISCO location for arbitrary mass ratios and matching numerical results to within about 7-15 percent.
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