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Particles and Fields

Eur. Phys. J. C 10, 537-544
DOI 10.1007/s100529900128

Confinement potential in the dual monopole Nambu-Jona-Lasinio model with dual Dirac strings

M. Faber1 - A.N. Ivanov1,2 - A. Müller1 - N.I. Troitskaya1 - M. Zach1

1 Institut für Kernphysik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria
(faber, ivanov, mueller, zach@kph.tuwien.ac.at)
2 State Technical University, Department of Nuclear Physics, 195251 St. Petersburg, Russian Federation

Received: 10 November 1998 / Revised version: 10 May 1999 / Published online: 12 August 1999

Abstract
Interquark confinement potential is calculated in the dual monopole Nambu-Jona-Lasinio model with dual Dirac strings suggested in [2,3] as a functional of the dual Dirac string length. The calculation is carried out by explicit integration over quantum fluctuations of a dual-vector field (monopole-antimonopole collective excitation) around the Abrikosov flux line and string shape fluctuations. The contribution of the scalar field (monopole-antimonopole collective excitation) exchange is taken into account in the tree approximation because of the London limit regime. The dominant role of quantum fluctuations for the formation of the linearly rising part of the confinement potential is argued.


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