dorsal/arxiv
View SchemaGeneralization of Dirac Non-Linear Electrodynamics, and Spinning Charged Particles
| Authors | W. A. Rodrigues Jr., Jayme Vaz, Erasmo Recami |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9803028 |
| URL | https://arxiv.org/abs/quant-ph/9803028 |
| DOI | 10.1007/BF01883725 |
| Journal | Found.Phys. 23 (1993) 469-485 |
Abstract
In this note we generalized the Dirac non-linear electrodynamics, by introducing two potentials (namely, the vector potential A and the pseudo-vector potential gamma^5 B of the electromagnetic theory with charges and magnetic monopoles) and by imposing the pseudoscalar part of the product omega.omega* to be zero, with omega = A + gamma^5 B. We show that the field equations of such a theory possess a soliton-like solution which can represent a priori a "charged particle", since it is endowed with a Coulomb field plus the field of a magnetic dipole. The rest energy of the soliton is finite, and the angular momentum stored in its electromagnetic field can be identified --for suitable choices of the parameters-- with the spin of the charged particle. Thus this approach seems to yield a classical model for the charged (spinning) particle, which does not meet the problems met by earlier attempts in the same direction.
{
"annotation_id": "a70e4258-f170-473e-95ef-9dc6e184f2c2",
"date_created": "2026-03-02T18:02:40.709000Z",
"date_modified": "2026-03-02T18:02:40.709000Z",
"file_hash": "4489d001214d162515e07f2cccfebbb0770ea264ebbf4a98c708c08010e08a78",
"private": false,
"record": {
"abstract": "In this note we generalized the Dirac non-linear electrodynamics, by\nintroducing two potentials (namely, the vector potential A and the\npseudo-vector potential gamma^5 B of the electromagnetic theory with charges\nand magnetic monopoles) and by imposing the pseudoscalar part of the product\nomega.omega* to be zero, with omega = A + gamma^5 B. We show that the field\nequations of such a theory possess a soliton-like solution which can represent\na priori a \"charged particle\", since it is endowed with a Coulomb field plus\nthe field of a magnetic dipole. The rest energy of the soliton is finite, and\nthe angular momentum stored in its electromagnetic field can be identified\n--for suitable choices of the parameters-- with the spin of the charged\nparticle. Thus this approach seems to yield a classical model for the charged\n(spinning) particle, which does not meet the problems met by earlier attempts\nin the same direction.",
"arxiv_id": "quant-ph/9803028",
"authors": [
"W. A. Rodrigues Jr.",
"Jayme Vaz",
"Erasmo Recami"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/BF01883725",
"journal_ref": "Found.Phys. 23 (1993) 469-485",
"title": "Generalization of Dirac Non-Linear Electrodynamics, and Spinning Charged Particles",
"url": "https://arxiv.org/abs/quant-ph/9803028"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2e5fdb0c-1cac-4124-a736-a083d947ca5a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}