Globally supersymmetric Green's functions in quantum gauge supersymmetry

The tensor and Faddeev-Popov ghost Green's functions of gauge supersymmetry are examined when the spontaneous breaking preserves global supersymmetry. The conditions imposed by global supersymmetry are obtained and integrated. The asymptotic behavior of the unperturbed Green's functions in the background field g(0)AB ≡ 〈0|gAB|0〉 are obtained. The proof of this behavior is required in establishing the complete ultraviolet finiteness of gauge supersymmetry.