Electromagnetic fields of a massless particle and the eikonal
Nov, 19915 pages
Published in:
- Phys.Lett.B 277 (1992) 148-152
- Published: 1992
e-Print:
- hep-th/9112020 [hep-th]
Report number:
- MIT-CTP-2033
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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.Note:
- The missing overdot -- signifying the $\tau$ differentiation $\nabla^2 {\dot \Omega}^{+ -} and {\dot k}^{+-}$ in eqs. (23) and (24) -- is inserted. Also, obsolete macro has been fixed. Plain TeX, 13 pages
- charged particle: massless
- massless: charged particle
- electromagnetic field
- potential: gauge
- approximation: eikonal
- quantum electrodynamics
- dimension: 2
- dimension: 4
- S-matrix: solution
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