Confinement, soft supersymmetry breaking and θ parameter dependence in the Seiberg-Witten model

By using the standard perturbation theory we study the mass and θ parameter dependence of the Seiberg-Witten theory with SU(2) gauge group, supplemented with a N = 1 supersymmetric as well as a smaller nonsupersymmetric masses. Confinement persists at all values of the bare vacuum parameter θph; at θph = −π,π,3π,…, however, the ground state is doubly degenerate and CP invariance is spontaneously broken à la Dashen. Due to the instanton-induced renormalization effects the low energy effective θ parameter remains small irrespectively of θph as long as the supersymmetry breaking (e.g. gaugino) mass is sufficiently small. Oblique confinement does not take place in this model.