2014
DOI: 10.1016/j.aop.2014.06.005
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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 δ-like contributions whose sup… Show more

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Cited by 18 publications
(21 citation statements)
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“…This prompted us to revisit derivation of the spectral-angular distribution of radiated energy not referring to wave zone. Second, the effective radiating current contains a light-like part (due to the free branon) with associated problems in constructing the retarded solutions of the D'Alembert equation with light-like sources [38][39][40]. Furthermore, radiation exhibits peculiar infrared and collinear [41][42][43][44] divergences, typical for radiation from massless charges in gauge theories (for more detailed discussion see [45]).…”
Section: Jhep01(2018)120mentioning
confidence: 99%
“…This prompted us to revisit derivation of the spectral-angular distribution of radiated energy not referring to wave zone. Second, the effective radiating current contains a light-like part (due to the free branon) with associated problems in constructing the retarded solutions of the D'Alembert equation with light-like sources [38][39][40]. Furthermore, radiation exhibits peculiar infrared and collinear [41][42][43][44] divergences, typical for radiation from massless charges in gauge theories (for more detailed discussion see [45]).…”
Section: Jhep01(2018)120mentioning
confidence: 99%
“…one gets 19) where ✷ D−1 ≡ ∂ µ ∂ µ and Π MN is the projector onto the (one-dimensional) subspace orthogonal to V D−1 . The source term in Eq.…”
Section: The Setupmentioning
confidence: 99%
“…The novel feature of this radiation problem is the presence of the light-like source due to the branon as a part of the total source. Recently, the retarded solutions of the d'Alembert equation with light-like sources were extensively discussed in connection with the radiation problem [18,19], the memory effect [20][21][22][23][24] and the Bondi-Metzner-Sachs asymptotic symmetries [25]. Our radiation problem provides a novel interesting setting for these studies.…”
Section: Introductionmentioning
confidence: 99%
“…It is such mathematical errors that led to the appearance of singularities in the unified theory, and the suggestion of the existence of black holes in the universe. When 4 x is carefully retained in the space-time structure, black holes do not appear in the theory (see Wheeler's early work [25] and a recent paper on the classical solutions of Maxwell equations [26]). In fact, the mathematical/logical exclusion of the gravitation singularity based on simple classical physics can be realized by the following analysis.…”
Section: Absence Of Gravitational Singularitymentioning
confidence: 99%
“…In general, massless charged spinors cannot be bounded in 4D Maxwell space-time. The solutions found in [26] by attaching a string, is precisely found by addition of the 4th space dimension (making the system a 5D manifold), so that a finite confinement can occur in the (added) 4th space di- hypothesize that one system of the charge pairs is the origin of the angular momentum of the universe [2], and another system of charged pairs is proposed in this paper to be the origin of the magnetic field in stellar, perhaps also in other objects. We would endorse particular credit to that paper for laying stone for researchers to stand on and think deeply about the inclusion of charge massless entities traveling with c in Maxwell's equations.…”
Section: Explicit Expression Of Thementioning
confidence: 99%