CORE STRUCTURE AND OSCILLATIONS OF SPINOR VORTICES

We describe the topological vortices of spinor fields. The topological group of the invariant manifold is (U(1)xSU(2))/Z(2), and the circula tion of the vortex is half the one of a complex scalar field. In the c ontext of a Galilean invariant theory, the vortex core structure is no n-analytical at its axis. Since the typical speed becomes very large i n the inner vortex core, one must include relativistic effects. We dis cuss the stability of non-relativistic vortices under the first relati vistic correction. Furthermore, spinorial fields satisfying the Dirac equation possess vortices with an analytic behavior in the core that b ecomes locally magnetized. The relativistic inner core structure match es the non-relativistic solution at a distance of the order of the Com pton length. Copyright (C) 1998 Published by Elsevier Science B.V.