Spontaneous symmetry breaking and pseudo-Goldstone bosons in supersymmetry theories

Abstract
It is shown, for a certain class of supersymmetric theories, that if supersymmetry is unbroken in the tree approximation then it remains unbroken when the one-loop quantum corrections are included. The authors use a simple model to illustrate the above theorem and also to demonstrate that at least some of the massless scalars which plague supersymmetry theories are pseudo-Goldstone bosons.