Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T15:36:20.061989Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 100 of 130 outbound references and 2 inbound Pith citation observations for arXiv:2412.10864.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T15:36:20.061989Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T12:39:01.411581Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-11T10:56:34.977789Z
100 of 130 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f2a8a98d-6701-43f4-8963-f206e867aa53 · outbound
Classical worldlines from scattering amplitudes We repo rt here the result of the manipulations highlighted above, and provide an explicit computation in appendix A
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e611c36-59c5-4039-b95e-81095af441e9 · outbound
Classical worldlines from scattering amplitudes upper” quantu m worldline and two for the
Reference 2
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Observation d58ece51-d17c-426c-a343-c6cc9d56cfb5 · outbound
Classical worldlines from scattering amplitudes quantum worldlines
Reference 3
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Observation 2f69196a-0e60-42fe-b128-f585431a0bb8 · outbound
Classical worldlines from scattering amplitudes first-self-force
Reference 4
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Observation 97303e2e-126e-4f2b-9eb0-cdb694b18044 · outbound
Classical worldlines from scattering amplitudes Ready for what lies ahead? -- Gravitational waveform accuracy requirements for future ground based detectors
Reference 5
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Observation d3d66ca3-19a2-43a9-b4e7-e11dc2c37e8d · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 6
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Observation 19a75701-270b-4b90-93cc-6c162f456386 · outbound
Classical worldlines from scattering amplitudes Bertotti, On gravitational motion, Nuovo Cim
Reference 7
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Observation 0e2cb50a-5d9e-4b94-a51b-5e16f8f89f7d · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 8
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Observation 0ed812f7-50f0-469f-92b2-3cc27923aa9a · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 9
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Observation e2e14ace-8e9e-47c4-8334-f64169063668 · outbound
Classical worldlines from scattering amplitudes (A4) The factor of i combines the −i contribution from each of the six vertices as well as the i contribution from each of the three photon propagators
Reference 10
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Observation 9f9bbf53-36a0-4899-b416-29bb6503e50c · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 11
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Observation 2e238ee2-74ff-42df-a4f2-b40e0965c8d7 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 12
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Observation bc389d23-5948-4d67-9752-6fbfaec78d15 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 13
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Observation 3f1c6ebd-a0a8-4f61-a653-6359e8f6bfe7 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 14
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Observation 9311ffb6-b4dd-4763-a8bc-187955a04f8d · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 15
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Observation 396a940a-d72c-4be5-b549-4aa0ee85691f · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 16
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Observation b2f66f30-821d-4170-9055-123887dcab69 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 17
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Observation 4572b10a-61a3-4325-8a22-994fe2eb42ff · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 18
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Observation f5be467e-a3d3-42de-97f6-e76ecd43c806 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 19
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Observation 73aadd95-7152-4535-b53e-7ea0daaddaf9 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 20
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Observation adc49fe1-4929-4afc-8ce6-aa157abffb13 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 21
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Observation 76497ae6-4a73-4925-84ec-7d43abf595a3 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 22
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Observation 8bb69476-65e3-488f-aea5-3acee956a4e9 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 23
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Observation afa9ee19-9fe6-4a8f-ad4d-36ed61d59354 · outbound
Classical worldlines from scattering amplitudes This quantity scales classically
Reference 24
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Observation 4d660987-838e-487b-ace9-035c2ac16d9c · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 25
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Observation 3d69f4de-e352-4ba2-9a2b-cfd1e8f6f058 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 26
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Observation 36679703-fa02-4391-ba33-72959ee752fc · outbound
Classical worldlines from scattering amplitudes (A10) Mapping q1 to q3 and integrating back gives the twelve contributions listed in eq
Reference 27
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Observation b388b6db-9134-4939-8bfe-f034f378e417 · outbound
Classical worldlines from scattering amplitudes Here we summarise the Feynman rules in the models we use
Reference 28
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Observation a55a1d97-c858-4fd2-918e-a2e0ca7152d7 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 29
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Observation 5f04cf55-539d-407d-95fb-7ece9dd26387 · outbound
Classical worldlines from scattering amplitudes Scalar model We present the integrand for the impulse received by particl e 1 of mass m1 and initial normalised velocity u1, with an impact parameter, i.e
Reference 30
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Observation 0a67d90a-5b21-4abf-ab11-dc7f1a4121bc · outbound
Classical worldlines from scattering amplitudes Observation of Gravitational Waves from a Binary Black Hole Merger
Reference 31
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Observation b37551ad-f8f4-4d54-8206-21852a0d4f56 · outbound
Classical worldlines from scattering amplitudes Punturo et al
Reference 32
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Observation cfeb1eed-9993-40ea-8ee5-4c835705e073 · outbound
Classical worldlines from scattering amplitudes Laser Interferometer Space Antenna
Reference 33
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Unavailable: canonical work link unavailable.
Observation 8b050bfd-a9f1-4bdd-9b41-8c4f4beb5293 · outbound
Classical worldlines from scattering amplitudes Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO
Reference 34
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Unavailable: canonical work link unavailable.
Observation e3c05301-a341-4ff7-bf3b-6077da3f33dd · outbound
Classical worldlines from scattering amplitudes Snowmass White Paper: Gravitational Waves and Scattering Amplitudes
Reference 35
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Observation bca1fa8a-a585-46c1-92bf-fe135f130333 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 36
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Observation d5054ce1-e66e-4072-9ad1-2b8d2c364bcf · outbound
Classical worldlines from scattering amplitudes Bertotti and J
Reference 37
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Observation 17bc9505-0405-4250-b980-7867dd858c4b · outbound
Classical worldlines from scattering amplitudes Westpfahl and M
Reference 38
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Observation 476fec75-fbf8-4542-a1bb-f1575ce9cf84 · outbound
Classical worldlines from scattering amplitudes Portilla, Scattering of two gravitating particles: classical approach, J
Reference 39
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Observation cc6d3998-82cb-4b2b-b346-1a8848ec13a8 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 40
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Observation 5c35a6cc-25a0-41b1-bcbf-b326c0d60d12 · outbound
Classical worldlines from scattering amplitudes From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
Reference 41
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Observation 3465bbd4-d351-435c-8c7b-da891b515132 · outbound
Classical worldlines from scattering amplitudes Amplitudes, Observables, and Classical Scattering
Reference 42
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Observation 5e62409c-56ea-434d-b320-602ab3aaddb4 · outbound
Classical worldlines from scattering amplitudes Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
Reference 43
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Observation 51e9e7f3-d89a-4e62-86d6-fa2f7f502bd6 · outbound
Classical worldlines from scattering amplitudes Black Hole Binary Dynamics from the Double Copy and Effective Theory
Reference 44
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Observation cdfdacb6-6609-44b4-83f7-098cc4f6795f · outbound
Classical worldlines from scattering amplitudes On Post-Minkowskian Hamiltonians in General Relativity
Reference 45
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Unavailable: canonical work link unavailable.
Observation a9b04dec-b075-48ff-80a5-30e34c78d369 · outbound
Classical worldlines from scattering amplitudes Post-Minkowskian Scattering Angle in Einstein Gravity
Reference 46
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Observation ab0b2e34-51dd-4b9c-897b-82115b7e692d · outbound
Classical worldlines from scattering amplitudes Classical gravitational scattering from a gauge-invariant double copy
Reference 47
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Unavailable: canonical work link unavailable.
Observation a5eb66f0-07c6-4324-9266-74862c35b760 · outbound
Classical worldlines from scattering amplitudes Scattering Amplitudes and Conservative Binary Dynamics at ${\cal O}(G^4)$
Reference 48
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Unavailable: canonical work link unavailable.
Observation 4920dfe2-eaad-4014-ae25-50ab7c552bb6 · outbound
Classical worldlines from scattering amplitudes Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$
Reference 49
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Unavailable: canonical work link unavailable.
Observation 17b7f38e-2200-4bcf-a334-35c968fe34d2 · outbound
Classical worldlines from scattering amplitudes Classical Observables from the Exponential Representation of the Gravitational S-Matrix
Reference 50
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Unavailable: canonical work link unavailable.
Observation 2e4a6643-5ba6-4ebe-ad1e-90ea3026bc4a · outbound
Classical worldlines from scattering amplitudes Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
Reference 51
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Unavailable: canonical work link unavailable.
Observation f7ead0fe-7ae9-4d55-9991-b3fd6f638d73 · outbound
Classical worldlines from scattering amplitudes Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach
Reference 52
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Unavailable: canonical work link unavailable.
Observation ff010448-a9fb-4c38-b7ef-43d4b5ed2f2b · outbound
Classical worldlines from scattering amplitudes Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order
Reference 53
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Unavailable: canonical work link unavailable.
Observation d10d63e7-def9-426a-8c89-9299b75a1b1d · outbound
Classical worldlines from scattering amplitudes Classical black hole scattering from a worldline quantum field theory
Reference 54
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Unavailable: canonical work link unavailable.
Observation bbd052bc-08ce-4967-9f13-38f93e0560d2 · outbound
Classical worldlines from scattering amplitudes Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory
Reference 55
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Unavailable: canonical work link unavailable.
Observation 6167aff4-027a-4114-a589-8fd8af6ba9ac · outbound
Classical worldlines from scattering amplitudes Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
Reference 56
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Unavailable: canonical work link unavailable.
Observation 0d97a040-c2f3-4387-b8f1-1229674c837c · outbound
Classical worldlines from scattering amplitudes Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
Reference 57
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Unavailable: canonical work link unavailable.
Observation 37f11684-be3e-44de-8acc-0470ceb6d288 · outbound
Classical worldlines from scattering amplitudes Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory
Reference 58
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Observation 76234b2b-5ad0-4a6f-9204-cad7959f0e0c · outbound
Classical worldlines from scattering amplitudes All Things Retarded: Radiation-Reaction in Worldline Quantum Field Theory
Reference 59
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Observation bf291a25-c0dd-4c9c-b0f6-72f704d8177f · outbound
Classical worldlines from scattering amplitudes Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
Reference 60
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Observation 48a22666-4792-44db-ac7d-249cf86e57bf · outbound
Classical worldlines from scattering amplitudes Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics
Reference 61
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Observation 33c398a8-307c-441a-a638-c0172e687590 · outbound
Classical worldlines from scattering amplitudes Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order
Reference 62
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Observation 0db98540-1367-415c-a944-65db38f6a374 · outbound
Classical worldlines from scattering amplitudes Bootstrapping the relativistic two-body problem
Reference 63
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Observation efb3d312-0fc1-44eb-b5eb-7c61e5c71b29 · outbound
Reference 64
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Observation a85548b4-bc3a-497f-9968-87d9d0178596 · outbound
Classical worldlines from scattering amplitudes One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
Reference 65
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Observation 0a29497b-02f5-4ac7-8ad2-ed276697f8ec · outbound
Classical worldlines from scattering amplitudes Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
Reference 66
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Observation 2bcb46bd-f0d1-4cae-a6b6-d51118dbd206 · outbound
Classical worldlines from scattering amplitudes Massive Loop Amplitudes from Unitarity
Reference 67
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Observation 36b5f1dc-2e4f-4ba8-99df-8c17c113d42f · outbound
Classical worldlines from scattering amplitudes One-Loop Amplitudes for e^+ e^- to Four Partons
Reference 68
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Unavailable: canonical work link unavailable.
Observation 83e50187-c40b-4328-9952-ad778021b194 · outbound
Classical worldlines from scattering amplitudes Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
Reference 69
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Observation e577c029-589d-4ddd-afb1-12920cc83f00 · outbound
Classical worldlines from scattering amplitudes New Relations for Gauge-Theory Amplitudes
Reference 70
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Observation e793216a-97ab-4542-90bd-2cf61b59e4b6 · outbound
Classical worldlines from scattering amplitudes Perturbative Quantum Gravity as a Double Copy of Gauge Theory
Reference 71
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Observation 5751bfdd-ab02-4546-9c79-44bad8db6c46 · outbound
Classical worldlines from scattering amplitudes Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
Reference 72
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Observation e53e9597-aeac-4a88-b067-d872e9f164cf · outbound
Classical worldlines from scattering amplitudes Asymptotic expansion of Feynman integrals near threshold
Reference 73
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Observation 231f21e3-aeab-4aed-a269-e0c265ddf64a · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 74
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Observation 9f8be5c2-ecaf-413a-9e79-defe24093416 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 75
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Observation ab1362f2-34f1-41a4-919d-d5ba5af39d03 · outbound
Classical worldlines from scattering amplitudes An Effective Field Theory of Gravity for Extended Objects
Reference 76
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Observation 8d263cbf-a5e4-4e01-9e4c-dbe1819394c6 · outbound
Classical worldlines from scattering amplitudes On an Exponential Representation of the Gravitational S-Matrix
Reference 77
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Unavailable: canonical work link unavailable.
Observation 53dc996a-9c4c-4fb1-a234-a1c434303f84 · outbound
Classical worldlines from scattering amplitudes Self-force correction to the deflection angle in black-hole scattering: a scalar charge toy model
Reference 78
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Observation 1b662ea2-2de8-4966-85a8-0c0c6ccf09e7 · outbound
Classical worldlines from scattering amplitudes Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model
Reference 79
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Observation 6c1f0ce6-19d0-4bc4-a51d-2aa8c6d7dfb0 · outbound
Classical worldlines from scattering amplitudes Conservative and radiative dynamics in classical relativistic scattering and bound systems
Reference 80
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Observation 1d337c9a-4c88-4a6e-b360-72b2d3395445 · outbound
Classical worldlines from scattering amplitudes Scalar QED as a toy model for higher-order effects in classical gravitational scattering
Reference 81
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Unavailable: canonical work link unavailable.
Observation e25c7f29-bc92-47fd-aa9c-65f34adad5d3 · outbound
Classical worldlines from scattering amplitudes Conservative binary dynamics at order $O(\alpha^5)$ in electrodynamics
Reference 82
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Unavailable: canonical work link unavailable.
Observation f91c8bb7-47a5-4de9-b497-f7eff0b7c10f · outbound
Classical worldlines from scattering amplitudes Spin and Susceptibility Effects of Electromagnetic Self-Force in Effective Field Theory
Reference 83
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Observation 57368ee4-2561-43d8-a8bd-7e4844bc2a4d · outbound
Reference 84
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Observation 915ab7a8-7061-40c0-8ae7-5dc4b58b06f4 · outbound
Classical worldlines from scattering amplitudes The Relation Between KMOC and Worldline Formalisms for Classical Gravity
Reference 85
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Observation 4167bb38-ef3c-4fe8-805a-6a474cbea5b9 · outbound
Classical worldlines from scattering amplitudes Classical off-shell currents
Reference 86
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Observation 2ed1f9fa-7158-4e49-83dd-eb212b936c15 · outbound
Classical worldlines from scattering amplitudes Worldline Proof of Eikonal Exponentiation
Reference 87
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Observation 5cb8312f-2167-4231-ab15-b4e7f1ae6eb4 · outbound
Classical worldlines from scattering amplitudes Worldline Formalism, Eikonal Expansion and the Classical Limit of Scattering Amplitudes
Reference 88
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Observation e6826cdd-4ff4-46e8-aa92-75f995da503f · outbound
Classical worldlines from scattering amplitudes Classical eikonal from Magnus expansion
Reference 89
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Observation 3ca93410-4f3a-4e40-ac06-4912f83f2da0 · outbound
Classical worldlines from scattering amplitudes Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
Reference 90
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Observation af5e5b75-03dd-4420-962a-de91efb2a470 · outbound
Classical worldlines from scattering amplitudes From loops to trees by-passing Feynman's theorem
Reference 91
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Observation 67811dae-87f6-4118-814a-936485840dc4 · outbound
Classical worldlines from scattering amplitudes A Tree-Loop Duality Relation at Two Loops and Beyond
Reference 92
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Observation 49aa98e4-984e-4c35-b231-b00d96ab0552 · outbound
Classical worldlines from scattering amplitudes Causality and loop-tree duality at higher loops
Reference 93
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Observation eee24cfc-f804-4f40-a397-ce71e3e90568 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 94
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 52ade74d-aef4-4aa9-90f5-e17a4cc4dfc2 · outbound
Classical worldlines from scattering amplitudes Loop Tree Duality for multi-loop numerical integration
Reference 95
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Observation 806f1a7a-263a-43e5-b094-c51b0ba8da3a · outbound
Classical worldlines from scattering amplitudes Exposing the threshold structure of loop integrals
Reference 96
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Unavailable: canonical work link unavailable.
Observation 78a6362d-1b2c-48f6-96e1-4dfd6febf955 · outbound
Classical worldlines from scattering amplitudes Derivation of the Cross-Free Family representation for the box diagram
Reference 97
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Observation 04cf6c81-b758-4dcf-9f0c-effa544b5059 · outbound
Classical worldlines from scattering amplitudes Unresolved cited work
Reference 98
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Observation b5784964-5aef-4962-95e4-ae6f205834ee · outbound
Classical worldlines from scattering amplitudes Partons, Factorization and Resummation, TASI95
Reference 99
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Observation 67f497e5-b670-4e97-b5ec-53f9958edf4d · outbound
Classical worldlines from scattering amplitudes Local infrared safety in time-ordered perturbation theory
Reference 100
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Observation 4453a1fe-62ae-4b25-9ae6-a008dc87629c · inbound
Gravitational lensing in a plasma from worldlines Classical worldlines from scattering amplitudes
Reference 42
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Observation 0bbeb047-20b3-45c9-b828-d0d90a16af1a · inbound
Generalized Wilson lines and the gravitational scattering of spinning bodies Classical worldlines from scattering amplitudes
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.