The European Physical Journal C

ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)

Table of Contents

Abstract Volume 4 Issue 4 (1998) pp 723-739
DOI 10.1007/s100529800776

theoretical physics:
Supersymmetric structures in 4-D Yang-Mills theory

Jussi Kalkkinen, Antti J. Niemi (a)

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.

(a) Supported by Göran Gustafsson Foundation for Science and Medicine and by NFR Grant F-AA/FU 06821-308

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Online publication: July 20, 1998
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