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The Relation Between KMOC and Worldline Formalisms for Classical Gravity

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arxiv 2306.11454 v2 pith:BY4SMH2W submitted 2023-06-20 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords kmocclassicalformalismsworldlineamplitudesapproachescontainedconventionally
verification ladder T0 review T1 audit T2 compute T3 formal
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We demonstrate the equivalence between KMOC and worldline formalisms for classical general relativity, highlighting how the Keldysh-Schwinger in-in formalism is contained in both of them even though the KMOC representation conventionally leads to the evaluation of scattering amplitudes with Feynman propagators. The relationship between the two approaches is illustrated in detail for the momentum kick at second Post-Minkowskian order.

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Cited by 7 Pith papers

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

  1. Classical worldlines from scattering amplitudes

    hep-th 2024-12 conditional novelty 8.0 of 10

    A new 'quantum worldline' representation makes the classical limit of scattering amplitudes exactly match worldline field theory integrands at two loops.

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    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.

  3. Gravitational Bremsstrahlung in Black-Hole Scattering at $\mathcal{O}(G^3)$: Quadratic-in-Spin Effects

    hep-th 2025-05 accept novelty 7.0 of 10

    First computation of the O(G^3 S^2) momentum-space gravitational waveform for two scattering spinning black holes, plus the leading three-body spinning waveform.

  4. Higher-Dimensional Black Holes and Effective Field Theory

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    Higher-dimensional spinning black holes generally have nonzero scalar tidal Love numbers, with patterns of zeroes in special limits, computed via point-particle EFT matching.

  5. Generalized Wilson lines and the gravitational scattering of spinning bodies

    hep-th 2024-12 conditional novelty 7.0 of 10

    A new generalized Wilson line representation for spin-1/2 and classical spinning bodies is derived, reproducing known 2PM gravitational scattering observables.

  6. In-in worldline formalism in pair creating fields

    hep-th 2025-12 conditional novelty 6.0 of 10

    In-in observables in pair-creating QED backgrounds are re-expressed exactly as in-out matrix elements with a universal non-local insertion, yielding a first-quantized formula for the probability of producing N pairs.

  7. Gravitational lensing in a plasma from worldlines

    hep-th 2024-12 conditional novelty 6.0 of 10

    The worldline formalism yields a closed-form NLO plasma-induced deflection angle for power-law electron density, matching previous results where they exist.

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