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
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.
Copyright Springer-Verlag
