Dirac positive-energy wave equation with para-Bose internal variables

Abstract

Dirac's new infinite-component positive-energy relativistic wave equation is generalized by introducing para-Bose internal dynamical variables. Electromagnetic interaction of Dirac's particle is studied and the origin of the difficulty in the original formulation identified. It is seen to be evaded by our generalization, a special case of which for para-Bose variables of order 2 is discussed elsewhere. Our equation also describes a spinless positive-energy unique-mass particle in the absence of external fields. We outline the new Dirac theory in 1 + 1 and 2 + 1 dimensions.