EFFECTS OF BOSON-VACUUM POLARIZATION BY A SINGULAR MAGNETIC VORTEX

In a space of arbitrary dimensions, the effect of an external magnetic field on the vacuum of a quantized charged scalar field is studied fo r the field configuration in the form of a singular vortex. The zeta-f unction technique is used to regularize ultraviolet divergences. The e xpression for the effective action is derived. It is shown that the en ergy density and current induced in the vacuum decrease exponentially at large distances from the vortex. The analytic properties of vacuum features as functions of the complex-valued space dimension are discus sed.