Supersymmetric structures in 4-D Yang-Mills theory
Jussi Kalkkinen - Antti J. Niemi
Department of Theoretical Physics,
P.O. Box 803, S-75108, Uppsala, Sweden
(e-mail: firstname.lastname@example.org, email@example.com)
Received: 18 July 1997 / Revised version: 15 August 1997 / Published online: 23 February 1998
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.