Abstract

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 θ ph; at θ ph = − π, π,3 π,…, 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 θ ph as long as the supersymmetry breaking (e.g. gaugino) mass is sufficiently small. Oblique confinement does not take place in this model.

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