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arXiv · hep-th/9112020

Electromagnetic fields of a massless particle and the eikonal

Roman Jackiw·Dan Kabat·Miguel Ortiz
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Abstract

Electromagnetic fields of a massless charged particle are described by a gauge potential that is almost everywhere pure gauge. Solution of quantum mechanical wave equations in the presence of such fields is therefore immediate and leads to a new derivation of the quantum electrodynamical eikonal approximation. The elctromagnetic action in the eikonal limit is localised on a contour in a two-dimensional Minkowski subspace of four-dimensional space-time. The exact S-matrix of this reduced theory coincides with the eikonal approximation, and represents the generalisatin to electrodynamics of the approach of 't Hooft and the Verlinde's to Planckian scattering.

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Roman Jackiw, Dan Kabat, Miguel Ortiz. 2016-04-19. Electromagnetic fields of a massless particle and the eikonal. https://doi.org/10.1016/0370-2693(92)90971-6

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