Supersymmetric structures in 4-D Yang–Mills theory

Abstract.

Recently there has been much progress in understanding confinement in the N=2 supersymmetric Yang–Mills theory. Here we shall investigate how these results could be extended to explain color confinement in the ordinary Yang–Mills theory. In particular, we inquire whether confinement in the N=2 theory can be related to color confinement in the ordinary Yang–Mills theory in the framework of Parisi–Sourlas dimensional reduction. For this we study the partition function of the ordinary Yang–Mills theory in different regimes. Our analysis reveals that an intimate connection indeed exists between these two approaches.