Electrodynamic Limit in a Model for Charged Solitons

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dc.creatorFaber, Manfried
dc.creatorKobushkin, Alexander P.
dc.date2002-07-18
dc.date2004-02-21
dc.date.accessioned2026-07-07T11:48:02Z
dc.date.available2026-07-07T11:48:02Z
dc.descriptionWe consider a model of topological solitons where charged particles have finite mass and the electric charge is quantised already at the classical level. In the electrodynamic limit, which physically corresponds to electrodynamics of solitons of zero size, the Lagrangian of this model has two degrees of freedom only and reduces to the Lagrangian of the Maxwell field in dual representation. We derive the equations of motion and discuss their relations with Maxwell's equations. It is shown that Coulomb and Lorentz forces are a consequence of topology. Further, we relate the U(1) gauge invariance of electrodynamics to the geometry of the soliton field, give a general relation for the derivation of the soliton field from the field strength tensor in electrodynamics and use this relation to express homogeneous electric fields in terms of the soliton field.
dc.description13 pages, 4 figures, Introduction and Section II (Model Lagrangian) rewritten, new chapters concerning electrodynamic limit and discussion of causality inserted
dc.identifierhttps://arxiv.org/abs/hep-th/0207167
dc.identifierhttp://arxiv.org/abs/hep-th/0207167
dc.identifierPhys.Rev.D69:116002,2004
dc.identifierdoi:10.1103/PhysRevD.69.116002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202781
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectNuclear Theory
dc.subjectOptics
dc.subjectQuantum Physics
dc.titleElectrodynamic Limit in a Model for Charged Solitons
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