SPECTRAL REPRESENTATION OF 2-POINT GREEN SUPERFUNCTION

A supersymmetric version of the Kallen-Lehman procedure is presented f or interacting superfields. On the basis of properties of the Fock sup erspace, the supersymmetric invariance and the asymptotic hypothesis, we show that the exact two-point Green superfunction (TPGF) can be wri tten as a superposition of the corresponding free TPGF with one spectr al weight. When the supercurrent is conserved, the spectral weight of vector superfield TPGF is positive and affects only the transverse par t of the vector superfield while its longitudinal one remains concentr ated at the spurious mass mu2. We show also that in the case of SQED, where in spite of derivature feature of the interacting Lagrangian, th e sum rules of the vector superfield spectral weight are like that of conventional QED.