Electromagnetic fields and potentials generated by massless charged particles
Abstract
We provide for the first time the exact solution of Maxwell’s equations for a massless charged particle moving on a generic trajectory at the speed of light. In particular we furnish explicit expressions for the vector potential and the electromagnetic field, which were both previously unknown, finding that they entail different physical features for bounded and unbounded trajectories. With respect to the standard Liénard–Wiechert field the electromagnetic field acquires singular δlike contributions whose support and dimensionality depend crucially on whether the motion is (a) linear, (b) accelerated unbounded, (c) accelerated bounded. In the first two cases the particle generates a planar shockwavelike electromagnetic field traveling along a straight line. In the second and third cases the field acquires, in addition, a δlike contribution supported on a physical singularitystring attached to the particle. For generic accelerated motions a genuine radiation field is also present, represented by a regular principalpart type distribution diverging on the same singularitystring.  Highlights: • First exact solution of Maxwell’s equations for massless charges in arbitrary motion. • Explicit expressions of electromagnetic fields and potentials. • Derivations are rigorous and based on distribution theory. • The form of the field depends heavily on whether the motion ismore »
 Authors:
 Scuola Galileiana di Studi Superiori, Università degli Studi di Padova (Italy)
 Dipartimento di Fisica e Astronomia, Università degli Studi di Padova (Italy)
 (Italy)
 Publication Date:
 OSTI Identifier:
 22403398
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics (New York); Journal Volume: 349; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHARGED PARTICLES; DELTA FUNCTION; ELECTRODYNAMICS; ELECTROMAGNETIC FIELDS; EXACT SOLUTIONS; MASSLESS PARTICLES; MAXWELL EQUATIONS; POTENTIALS; SHOCK WAVES; SINGULARITY; VISIBLE RADIATION
Citation Formats
Azzurli, Francesco, Email: francesco.azzurli@gmail.com, Lechner, Kurt, Email: lechner@pd.infn.it, and INFN, Sezione di Padova, Via F. Marzolo, 8, 35131 Padova. Electromagnetic fields and potentials generated by massless charged particles. United States: N. p., 2014.
Web. doi:10.1016/J.AOP.2014.06.005.
Azzurli, Francesco, Email: francesco.azzurli@gmail.com, Lechner, Kurt, Email: lechner@pd.infn.it, & INFN, Sezione di Padova, Via F. Marzolo, 8, 35131 Padova. Electromagnetic fields and potentials generated by massless charged particles. United States. doi:10.1016/J.AOP.2014.06.005.
Azzurli, Francesco, Email: francesco.azzurli@gmail.com, Lechner, Kurt, Email: lechner@pd.infn.it, and INFN, Sezione di Padova, Via F. Marzolo, 8, 35131 Padova. 2014.
"Electromagnetic fields and potentials generated by massless charged particles". United States.
doi:10.1016/J.AOP.2014.06.005.
@article{osti_22403398,
title = {Electromagnetic fields and potentials generated by massless charged particles},
author = {Azzurli, Francesco, Email: francesco.azzurli@gmail.com and Lechner, Kurt, Email: lechner@pd.infn.it and INFN, Sezione di Padova, Via F. Marzolo, 8, 35131 Padova},
abstractNote = {We provide for the first time the exact solution of Maxwell’s equations for a massless charged particle moving on a generic trajectory at the speed of light. In particular we furnish explicit expressions for the vector potential and the electromagnetic field, which were both previously unknown, finding that they entail different physical features for bounded and unbounded trajectories. With respect to the standard Liénard–Wiechert field the electromagnetic field acquires singular δlike contributions whose support and dimensionality depend crucially on whether the motion is (a) linear, (b) accelerated unbounded, (c) accelerated bounded. In the first two cases the particle generates a planar shockwavelike electromagnetic field traveling along a straight line. In the second and third cases the field acquires, in addition, a δlike contribution supported on a physical singularitystring attached to the particle. For generic accelerated motions a genuine radiation field is also present, represented by a regular principalpart type distribution diverging on the same singularitystring.  Highlights: • First exact solution of Maxwell’s equations for massless charges in arbitrary motion. • Explicit expressions of electromagnetic fields and potentials. • Derivations are rigorous and based on distribution theory. • The form of the field depends heavily on whether the motion is bounded or unbounded. • The electromagnetic field contains unexpected Diracdeltafunction contributions.},
doi = {10.1016/J.AOP.2014.06.005},
journal = {Annals of Physics (New York)},
number = ,
volume = 349,
place = {United States},
year = 2014,
month =
}

MOTION OF ELECTRICALLY CHARGED PARTICLES IN CIRCULARLY POLARIZED ELECTROMAGNETIC FIELDS AND IN CROSSED LINEARLY POLARIZED FIELDS WITH TRANSIENT RANDOM FIELDS(in German)
In circularly polarized fields, particle accelerations occur only when E and H are not spatially perpendicular to each other, but when a component of H following or preceding in the rotation direction by 90 deg is present. linearly polarized spatially crossed fields of any time pattern it was shown that with proportionality of both fields no acceleration occurs. The field patterns that produce specified motions are discussed. (trauth) 
Confinement of massless charged particles in QED/sub 4/ and of charged particles in QED/sub 3/
The infrared problem associated with massless charged particles is discussed at a nonperturbative level, extending previous results. It is shown that the validity of the relativistic spectral conditions and the existence of asymptotic photons forbid the existence of massless charged particles. The same conclusion is proved for massive charged particles in 2+1 dimensions. copyright 1986 Academic Press, Inc.