Massive twistor worldline in electromagnetic fields

Abstract

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.

74 pages, 15 figures; (v2) 76 pages, 15 figures; additional references; extended discussions on singularity structures of axial scattering eikonal

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• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Radiation eikonal for post-Minkowskian observables
• Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
• The first law of binary black hole scattering
• Quantum Effects for Black Holes with On-Shell Amplitudes
• Unexpected Symmetries of Kerr Black Hole Scattering
• Classical scattering matrix for hard and soft Bose-excitations in a non-Abelian plasma within the Hamiltonian formalism