Electrodynamics: A consequence of nonlinear realizations of the Lorentz group
Abstract
Extensions from the representations of the Lorentz group to include local nonlinear diagonal transformations is sufficient to generate, via the covariant derivative, the interaction of minimal coupling. These diagonal realizations are characterized by six functions ph/sub i/ which must satisfy a system of transformation equations. Inequivalent categories of solutions for the phi/sub i/ give rise to different electromagnetic fields. The Dirac monopole and Coulomb potentials follow directly from two different categories of these nonlinear realizations. Within this theory, charge becomes simply the nonlinear counterpart of intrinsic spin for a particular nonlinear realization of the Lorentz group. Charge is thus placed on equal footing with intrinsic spin in the sense that both phenomena can be described as consequences of our spacetime symmetry. Other solutions for the six phi/sub i/ exist, including a spinor. We briefly discuss the possibility that with these other solutions, these realizations could represent some other basic properties of elementary particles.
 Publication:

Presented at the Conf. held in New Orleans
 Pub Date:
 1981
 Bibcode:
 1981newo.conf.....D
 Keywords:

 Electrodynamics;
 Electromagnetic Fields;
 Elementary Particles;
 Lorentz Transformations;
 Nonlinear Equations;
 Dirac Equation;
 Field Theory (Physics);
 Functions (Mathematics);
 Lie Groups;
 Poincare Problem;
 Quantum Electrodynamics;
 Communications and Radar