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

Ludvig Faddeev; Antti J. Niemi

doi:10.1103/PhysRevLett.82.1624

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

Ludvig Faddeev and Antti J. Niemi

Phys. Rev. Lett. 82, 1624 – Published 22 February 1999

Abstract

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.

Received 7 July 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.1624

Authors & Affiliations

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

^*Electronic address: FADDEEV@PDMI.RAS.RU
^†Electronic address: NIEMI@TEORFYS.UU.SE