Particles as stable topological solitons
Atomic Institute of Austrian Universities
Vienna University of Technology
Wiedner Hauptstr. 8-10 / 142
1040 Vienna
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.
Manfried Faber
1971 Employment as University Teacher at the Institute of Nuclear Physics at the
University of Technology Wien
1978-1979 Employment for one year in a research position at the Institute of Nuclear
Physics at Kernforschungsanlage Jlich
1981 Habilitation at the University of Technology Wien about Angular Momen-
tum and Temperature Effects for Fissioning Compound Nuclei
1981-1983 Head of the Association of University Teachers of the University of Technol-
ogy Wien
1982- Premanent position as Prof. for Theoretical Nuclear Physics
1983-1984 Guest docent at the Institute of Theoretical Physics of the University of
Innsbruck
1984-1986 Head of the Association of University Teachers of Austria
1984-1991 Member of the Kuratorium of the Austrian Science Foundation
1985-1991 Member of the Board of Directors of the Computer Center of the University
of Technology Wien
1986-1991 Lectures on Theoretical Atomic and Theoretical Nuclear Physics at the Uni-
versity of Linz
1989-1993 Member of the Austrian Council for Science and Research
1994-1995 Head of the Nuclear and Particle Physics Section of the Austrian Physical
Society
1996-2001 Guest professor for Physics at the University of Agriculture
Lectures
• Theoretical Physics Course
• Nuclear and Particle Physics
• Theoretical Atomic Physics
• Theoretical Nuclear Physics
• Many-Body-Methods in Nuclear Physics
• Atomic and Molecular Physics
• Nuclear and Particle Physics
• Atomar and Subatomar Physics
• Quarks and Nuclei
• Path Integrals in Quantum Mechanics and Quantum Field Theory
• Quantum Chromodynamics
• Solitons, Differential Geometry and Topology