EUCLIDEAN SPINOR GREENS-FUNCTIONS IN THE SPACE-TIME OF A STRAIGHT COSMIC-STRING

The spinor Green's function and the twisted spinor Green's function in a Euclidean space with a conical-type line singularity are generally determined. In particular, in the neighborhood of the point source, they are expressed as a sum of the usual Euclidean spinor Green's function and a regular term. In four dimensions, these determinations can be used to calculate the vacuum energy density and the twisted one for a massless spinor held in the space-time of a straight cosmic string. In the Minkowski space-time, the vacuum energy density for a massive twisted spinor field is explicitly determined. (C) 1995 American Institute of Physics.