Electromagnetic fields of a massless particle and the eikonal

Dan Kabat; Miguel Ortiz; Roman Jackiw

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Electromagnetic fields of a massless particle and the eikonal

Roman Jackiw, Dan Kabat, Miguel Ortiz

High Energy Physics - Theory · Submitted 9 Dec 1991

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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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What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.86 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Electromagnetic fields of a massless charged particle are described by a gauge potential that is almost everywhere pure gauge.	result 0.68	0.50	0.20	asserted 1.00
s1	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.	result 0.68	0.82	0.23	asserted 1.00
s2	The elctromagnetic action in the eikonal limit is localised on a contour in a two-dimensional Minkowski subspace of four-dimensional space-time.	result 0.98	0.72	0.16	asserted 1.00
s3	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.	result 0.72	0.77	0.59	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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The paper

Original 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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References

Forward citations

Cited by 5 Pith papers

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

An Effective Field Theory for Forward Scattering and Factorization Violation
hep-ph 2016-01 accept novelty 8.0 of 10

A new SCET operator basis for Glauber gluon exchange reproduces forward-scattering QCD matching, gluon Reggeization, and the BFKL equation.
Do null defects dream of conformal symmetry?
hep-th 2025-09 conditional novelty 7.0 of 10

Null line defects preserve a large conformal algebra that constrains their correlators to shockwave-plane discontinuities, and a restricted test-function space resolves the ill-defined ultraboosted gauge potential.
Eikonal amplitudes from curved backgrounds
hep-th 2021-12 conditional novelty 6.0 of 10

One-to-one scalar scattering in a stationary curved background has the structure of an exponentiated eikonal amplitude, reproducing the two-to-two gravitational eikonal amplitude for Schwarzschild and Kerr.
Relationship Between Gravity and Gauge Scattering in the High Energy Limit
hep-th 2012-10 conditional novelty 6.0 of 10

In the high-energy eikonal limit, graviton scattering amplitudes equal color-stripped gluon amplitudes restricted to the collinear-finite ladder subset, and the same double copy holds for the classical shockwaves.
Extending Soft-Collinear-Effective-Theory to describe hard jets in dense QCD media
hep-ph 2008-08 conditional novelty 5.0 of 10

A new effective Lagrangian couples collinear quarks to Glauber gluons from a dense medium and reproduces known full-QCD results for jet broadening and the TMDPDF gauge link.

How the literature uses it

23 arXiv papers cite this in 37 sentences

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Papers citing it · 29 sentences without a confident label

Compares with it 1 paper

Our $A_1,c^-$ is almost the solution written in [ref] and (2.24) of [ref] (see also [ref] ).

Do null defects dream of conformal symmetry? · Direct Solution for the Massless Charged Particle · 0.99

Cites it as background 6 papers

While the solution of the scalar wave equations in electromagnetic (and gravitational) shockwaves [ref] is well-covered in the literature (cf., [ref] ), the Dirac equation is less commonly studied (though see [ref] for the eikonal calculation).

Particle-beam scattering from strong-field QED · Fermion wavefunctions on ultraboosted beam backgrounds · 0.90
Simplifications arise under assumptions such as small momentum exchange, ultrarelativistic limits or a perturbative description of the background (e.g., [ref] ).

Scattering amplitudes for self-force · Semiclassical scalar wavefunctions & elastic scattering · 0.82
The problem of electromagnetic radiation from massless charges was considered in [ref] in the framework of classical electrodynamics.

On the creation of charged massless fermion pair by a photon in crossed electromagnetic field · Introduction · 0.98

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