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Scalar QED as a toy model for higher-order effects in classical gravitational scattering

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arxiv 2112.12243 v1 pith:DPXM2S3M submitted 2021-12-22 hep-th gr-qc

classification hep-thgr-qc
keywords classicalobservablesscatteringgravitationalmodelorderscalaraction
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Quantum Electrodynamics (QED) serves as a useful toy model for classical observables in gravitational two-body systems with reduced complexity due to the linearity of QED. We investigate scattering observables in scalar QED at the sixth order in the charges (two-loop order) in a classical regime analogous to the post-Minkowskian expansion in General Relativity. We employ modern scattering amplitude tools and extract classical observables by both eikonal methods and the formalism of Kosower, Maybee, and O'Connell (KMOC). In addition, we provide a simplified approach to extracting the radial action beyond the conservative sector.

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Cited by 2 Pith papers

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

  1. First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order

    hep-th 2025-02 conditional novelty 7.0 of 10

    The O(G^3) conservative and radiation-reaction classical observables for spinning black-hole scattering are extended to quartic order in spin, with all-order-in-spin radiation reaction beyond the aligned-spin limit.

  2. Classical eikonal in relativistic scattering

    hep-th 2025-09 conditional novelty 6.0 of 10

    A classical interaction picture defines the classical eikonal directly in classical mechanics and yields all-order eikonal formulas for relativistic probes in EM and gravitational backgrounds.

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