%0 Journal Article %T On the D = 4, N = 2 Non-Renormalization Theorem %A Ioseph L. Buchbinder %A Sergei M. Kuzenko %A Burt A. Ovrut %J Physics %D 1997 %I arXiv %R 10.1016/S0370-2693(98)00688-1 %X Using the harmonic superspace background field formulation for general D=4, N=2 super Yang-Mills theories, with matter hypermultiplets in arbitrary representations of the gauge group, we present the first rigorous proof of the N=2 non-renormalization theorem; specifically, the absence of ultraviolet divergences beyond the one-loop level. Another simple consequence of the background field formulation is the absence of the leading non-holomorphic correction to the low-energy effective action at two loops. %U http://arxiv.org/abs/hep-th/9710142v2