The One Loop Effective Super-Potential and Non-Holomorphicity

Abstract

We calculate the Kahlerian and the lowest order non-Kahlerian contributions to the one loop effective superpotential using super-Feynman graphs in the massless Wess-Zumino Model, the massive Wess-Zumino Model and N=1, U(1) gauge theory. We also calculate the Kahlerian term in Yang-Mills Theory for a general gauge group. Using this latter result we find the one loop Kahlerian contribution for N=2 Yang-Mills Theory in terms of N=1 superfields and we show that it can only come from non-holomorphic contributions to the N=2 effective potential.

LaTeX, 10 pages, 7 figures, uses bezier.sty and ifthen.sty. First amendment. The results are extended to include the Kahlerian term for a general renormalisable N=1 supersymmetric theory, containing Wess-Zumino and Yang-Mills multiplets with a cubic superpotential. One reference has been changed and one has been added. Second amendment. One acknowledgment has been altered in the `note added in proof'

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