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We give an analysis of the spin-weighted Green's functions well-defined in aconical space. We apply these results in the case of a straight cosmic stringand in the Rindler space in order to determine generally the Euclidean Green'sfunctions for the massless spin 1/2 field and for the electromagnetic field. Wegive also the corresponding Green's functions at zero temperature. However,except for the scalar field, it seems that these Euclidean Green's functions donot correspond to the thermal Feynman Green's functions.Comment: 6 pages, latex, no figures, more comments adde

SPIN-WEIGHTED GREEN’S FUNCTIONS IN A CONICAL SPACE