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Title: Electromagnetic fields and potentials generated by massless charged particles

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 δ-like 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 shock-wave-like electromagnetic field traveling along a straight line. In the second and third cases the field acquires, in addition, a δ-like contribution supported on a physical singularity-string attached to the particle. For generic accelerated motions a genuine radiation field is also present, represented by a regular principal-part type distribution diverging on the same singularity-string. - 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 » bounded or unbounded. • The electromagnetic field contains unexpected Dirac-delta-function contributions.« less
Authors:
 [1] ;  [2] ;  [3]
  1. Scuola Galileiana di Studi Superiori, Università degli Studi di Padova (Italy)
  2. Dipartimento di Fisica e Astronomia, Università degli Studi di Padova (Italy)
  3. (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