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Massive twistor worldline in electromagnetic fields

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arxiv 2405.17056 v2 pith:6Z2X74FK submitted 2024-05-27 hep-th gr-qc

classification hep-thgr-qc
keywords classicaleikonalone-loopordereffectselectromagneticencodedkick
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the (ambi-)twistor model for spinning particles interacting via electromagnetic field, as a toy model for studying classical dynamics of gravitating bodies including effects of both spins to all orders. We compute the momentum kick and spin kick up to one-loop order and show precisely how they are encoded in the classical eikonal. The all-orders-in-spin effects are encoded as a dynamical implementation of the Newman-Janis shift, and we find that the expansion in both spins can be resummed to simple expressions in special kinematic configurations, at least up to one-loop order. We confirm that the classical eikonal can be understood as the generator of canonical transformations that map the in-states of a scattering process to the out-states. We also remark that cut contributions for converting worldline propagators from time-symmetric to retarded amount to the iterated action of the leading eikonal at one-loop order.

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Cited by 4 Pith papers

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

  1. Mass/electric versus NUT/magnetic charges: duality from scattering amplitudes in $D\geq4$ and for all bosonic spins

    hep-th 2026-07 conditional novelty 7.0 of 10

    Kerr-NUT mass/electric and equal-NUT/magnetic charges are dual in D≥4, realized as J_σ ↔ J_−σ in 3-point amplitudes generated by a spin-raising operator for all bosonic spins.

  2. 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.

  3. 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.

  4. Manifest symplecticity in classical scattering

    hep-th 2025-11 conditional novelty 4.0 of 10

    The on-shell action and the exponential scattering generator differ as functions, but the on-shell action of the true Hamiltonian equals the on-shell action of the generator treated as a unit-time effective Hamiltonian.

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