https://doi.org/10.1140/epjc/s2004-01855-8
theoretical physics
Angular symmetry breaking induced by electromagnetic field
1
L.P.M.C.T., Institut de Physique, 1 blvd. François Arago, 57070, Metz, France
2
Department of Physics, Iowa State University, 50011-3020, Ames, IA, USA
3
Institut Charles Sadron, CNRS UPR 022, 6 rue Boussingault, 67083, Strasbourg Cedex, France
* e-mail: lages@ameslab.gov
Received:
4
December
2002
Revised:
23
October
2003
Published online: 18 May 2004
It is well known that velocities do not commute in the presence of an electromagnetic field. This property implies that angular algebra symmetries, such as the sO(3) and Lorentz algebra symmetries, are broken. To restore these angular symmetries we show the necessity of adding the Poincaré momentum M to the simple angular momentum L. These restorations performed successively in a flat space and in a curved space lead in each case to the generation of a Dirac magnetic monopole. In the particular case of the Lorentz algebra we consider an application of our theory to gravitoelectromagnetism. In this last case we establish a qualitative relation giving the mass spectrum for dyons.
© Springer-Verlag, 2004
