Phys. Rev. Lett. 82, 1624–1627 (1999)

Partially Dual Variables in SU(2) Yang-Mills Theory

Abstract

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Ludvig Faddeev^1,3,* and Antti J. Niemi^2,3,†
¹St. Petersburg Branch of Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg, Russia
²Department of Theoretical Physics, Uppsala University, P.O. Box 803, S-75108 Uppsala, Sweden
³Helsinki Institute of Physics, University of Helsinki, P.O. Box 9, FIN-00014 Helsinki, Finland

Received 7 July 1998; published in the issue dated 22 February 1999

We propose a reformulation of SU(2) Yang-Mills theory in terms of new variables, appropriate for describing the theory in its infrared limit. These variables suggest a dual picture of the Yang-Mills theory where the short distance limit describes asymptotically free, massless point gluons and the large distance limit describes extended, massive knotlike solitons.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.82.1624

DOI:

10.1103/PhysRevLett.82.1624

PACS:

11.15.Tk, 11.27.+d

^*Electronic address: FADDEEV@PDMI.RAS.RU

^†Electronic address: NIEMI@TEORFYS.UU.SE

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Phys. Rev. Lett. 82, 1624–1627 (1999)

Partially Dual Variables in SU(2) Yang-Mills Theory