A GENERALIZATION OF DIRAC NONLINEAR ELECTRODYNAMICS, AND SPINNING CHARGED-PARTICLES

In this paper - dedicated to Prof. Asim 0. Barut-we generalize the Dirac non-linear electrodynamics by introducing two potentials (namely, the vector potential A and the pseudo-vector potential gamma5B of the electromagnetic theory with charges and magnetic monopoles) and by imposing the pseudoscalar part of the product omegaomega* to be zero, with omega = A + gamma5B. We show that the field equations of such a theory possess a soliton-like solution which can represent a priori a 'charged particle,' since it is endowed with a Coulomb field plus the field of a magnetic dipole. The rest energy of the soliton is finite, and the angular momentum stored in its electromagnetic field can be identified - for suitable choices of the parameters-with the spin of the charged particle. Thus, this approach seems to yield a classical model for the charged (spinning) particle which does not encounter the problems met by earlier attempts in the same direction.23346948