Baker, M. and Ball, James S. and Zachariasen, F. (1988) Dual long-distance QCD. Physical Review D, 37 (4). pp. 1036-1063. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:BAKprd88a
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We propose an explicit form for the long-range limit of the SU(N) Yang-Mills Lagrangian expressed as a function of the dual (color-electric) vector potentials. While we cannot rigorously derive the Lagrangian, it can be made plausible that it follows from conventional Yang-Mills theory. This dual long-distance QCD Lagrangian has many of the properties of a magnetic superconductor. It has classical solutions corresponding to confined tubes of quantized electric color flux which result from a dual Meissner effect. However, the confining pressure is not produced by a scalar Higgs field, as in ordinary superconductivity, but by a magnetic condensate field which arises naturally from the nonlocal form of the dual Lagrangian. Within the classical approximation, we find the explicit distribution of color fields surrounding a flux tube. Semiclassical quantization around this solution can be expected to yield the QCD string, and the semiclassical expansion parameter is 1/N, where N is the number of colors.
|Additional Information:||© 1988 The American Physical Society. Received 5 October 1987. We would like to thank V.P. Nair for many useful conversations and C. Kounnas for pointing out that there are ghost fields in the local form of the Lagrangian. We would also like to thank the Aspen Center for Physics for its hospitality while some of this work was being done. One of us (M.B.) is grateful to the CNRS (France) for support during the time this work was being carried out at the Universite de Paris XI at Orsay and would like to thank Professor K. Chadan for his kind hospitality during this stay. He would like to thank the members of the theoretical group at Orsay for many stimulating conversations, and would like especially to acknowledge important contributions of P. Boucaud to some parts of this paper. One of us (J.S.B.) was supported in part by National Science Foundation Grant No. PHY-8405648. Another of us (F.Z.) was supported in part by U.S. Department of Energy Grant No. DE-AC03-81-ER40050. One of us (M.B.) was supported in part by U.S. Department of Energy Grant No. DE-AC-0681ER-40048.|
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