Electro-Magnetic Waves within a Model for Charged Solitons

We analyze the model of topological fermions (MTF), where charged fermions are treated as soliton solutions of the field equations. In the region far from the sources we find plane waves solutions with the properties of electro-magnetic waves.Comment: 4 pages, 2 figure

Two-photon exchange and elastic scattering of longitudinally polarized electron on polarized deuteron

Structure functions and polarization observables in elastic scattering of longitudinally polarized electron on polarized deuteron are considered within approximation of one-photon + two-photon exchange. It is shown that contribution of two-photon exchange in the generalized structure function A is of order of few percent, while in the generalized structure function B it is of order of 10--20 %. We have found that components T_{20} and T_{21} of tensor analyzing power are mainly determined by one-photon exchange, but T_{22} is mainly determined by interference between one-photon exchange and two-photon exchange. We have also considered polarization observables T_{11}, C_{21} and C_{22} which are proportional to imaginary part of the reaction amplitude and vanish in the framework of one-photon exchange.Comment: 6 pages, 8 figure

Electrodynamic Limit in a Model for Charged Solitons

We 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.Comment: 13 pages, 4 figures, Introduction and Section II (Model Lagrangian) rewritten, new chapters concerning electrodynamic limit and discussion of causality inserte