Pith. sign in

REVIEW 7 cited by

Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1903.05113 v2 pith:7NKFUOJP submitted 2019-03-12 gr-qc hep-phhep-th

Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian

classification gr-qc hep-phhep-th
keywords fourthorderpost-newtonianapproachconservativedynamicslagrangianpreviously
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

Within the framework of the effective field theory approach to the post-Newtonian approximation to General Relativity, we report the so far missing G^3 and G^4 sectors of the conservative two body dynamics at fourth perturbative order for non-spinning compact objects. Following the standard procedure, the exchange of gravitational interaction is integrated out to obtain a systematic expansion in terms of Feynman graphs. Building on this result and on previously obtained ones, we are able to write the local-in-time regularized Lagrangian at fourth post-Newtonian order, which is in agreement with results previously computed with other methods.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Nonlocal-in-time tail effects in gravitational scattering to fifth Post-Minkowskian and tenth self-force orders

    hep-th 2026-04 unverdicted novelty 8.0

    Nonlocal-in-time conservative tail contributions to gravitational scattering are derived at 5PM and 10SF orders, expressed via polylogarithms up to weight three and agreeing with prior results through 6PN.

  2. Gravitational Compton scattering at the fourth post-Minkowskian order

    hep-th 2026-06 unverdicted novelty 7.0

    Derives gravitational Compton amplitude at O(G^4) and N-matrix element for scattering phase shift, verified by agreement with black-hole perturbation theory.

  3. N-body next-to-leading order gravitational spin-orbit interaction via effective field theory

    gr-qc 2026-05 conditional novelty 6.0

    The NLO gravitational spin-orbit Hamiltonian for N spinning bodies is computed via PN-EFT, with only three-body diagrams new beyond the binary case, and the result matches the known ADM Hamiltonian up to canonical tra...

  4. All-order structure of static gravitational interactions and the seventh post-Newtonian potential

    hep-th 2026-04 unverdicted novelty 6.0

    A closed formula computes static post-Newtonian corrections at arbitrary odd orders in gravity, yielding the explicit seventh post-Newtonian potential that matches an independent diagrammatic method.

  5. Black Hole Dynamics at Fifth Post-Newtonian Order

    gr-qc 2026-04 unverdicted novelty 6.0

    Derives 5PN scattering observables and a conservative Hamiltonian contribution for black holes that determines EOB parameters d5loc and a6loc.

  6. Weak-field waveforms for generic relativistic orbits

    hep-th 2026-06 unverdicted novelty 5.0

    Outlines a Schwinger-Keldysh path-integral framework that derives worldline equations of motion and computes weak-field gravitational waveforms independently for unspecified relativistic orbits.

  7. Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries

    gr-qc 2024-06 conditional novelty 4.0

    4.5PN and 2SF calculations of gravitational energy flux for quasicircular compact binaries agree.