  We introduce a new class of effective actions describing dynamically broken
supersymmetric theories in an essentially non-perturbative region. Our approach
is a generalization of the known supersymmetric non-linear sigma models, but
allows in contrast to the latter the description of dynamical supersymmetry
breaking by non-perturbative non-semiclassical effects. This non-perturbative
breaking mechanism takes place in confined theories, where the effective fields
are composite operators. It is necessary within the context of quantum
effective actions and the associated concept of symmetry breaking as a
hysteresis effect. In this paper we provide a mathematical definition and
description of the actions, its application to specific supersymmetic gauge
theories is presented elsewhere.
