Abstract
We show how twistor Hamiltonian methods, that were originally devised for solving the Lorentz force and geodesic equations in impulsive wave backgrounds when such waves are (limiting cases of) free fields, may be used in problems where the impulsive wave is generated by a source moving with the speed of light. The equations of motion are written in Hamiltonian form on the symplectic manifold of null twistors. Properties of the scattering transformation are examined, with particular emphasis on the asymptotic behaviour of the dynamics in the presence of long-range potentials. Certain sourced fields in Minkowski space are known to give rise to infrared-divergent one-photon states in QED. We calculate an explicit example of such a field using the twistor description of fields with sources on worldlines.
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