2023 Impact factor 4.2
Particles and Fields
Eur. Phys. J. C 4, 723-739
DOI 10.1007/s100529800776

Supersymmetric structures in 4-D Yang-Mills theory

Jussi Kalkkinen - Antti J. Niemi

Department of Theoretical Physics, Uppsala University, P.O. Box 803, S-75108, Uppsala, Sweden
(e-mail: jussi.kalkkinen@teorfys.uu.se, antti.niemi@teorfys.uu.se)

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.

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