Volume 52, Number 1, October I 2000
|Page(s)||54 - 59|
|Section||The physics of elementary particles and fields|
|Published online||01 September 2002|
Confining strings in the Abelian-projected SU(3)-gluodynamics
INFN, Sezione di Pisa, Università degli Studi di Pisa,
Dipartimento di Fisica Via Buonarroti,
2, Ed. B, 56127 Pisa, Italy and
Institute of Theoretical
and Experimental Physics
B. Cheremushkinskaya 25, 117 218 Moscow, Russia
Accepted: 3 August 2000
String representation of the Wilson loop is constructed in the 3D Abelian-projected SU(3)-gluodynamics, where the monopole condensation is modelled by the grand-canonical ensemble with the Coulomb interaction. It is demonstrated that the summation over world sheets, bounded by the contour of the Wilson loop, is realized by the summation over branches of a certain effective multivalued potential of the monopole densities. Finally, by virtue of the so-constructed representation of the Wilson loop in terms of the monopole densities, this quantity is evaluated in the approximation of a dilute monopole gas, which makes confinement in the model under study manifest.
PACS: 12.38.Aw – General properties of QCD (dynamics, confinement, etc.) / 12.38.Lg – Other nonperturbative calculations / 11.15.-q – Gauge field theories
© EDP Sciences, 2000
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