Ensemble of Vortex Loops in the Abelian-Projected SU(3)-Gluodynamics

Details Ensemble of Vortex Loops in the Abelian-Projected SU(3)-Gluodynamics Ensemble of Vortex Loops in the Abelian-Projected SU(3)-Gluodynamics

1999-08-04

arxiv.org/abs/hep-th/9908033v2

Mod.Phys.Lett. A14 (1999) 1829-1839

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX2e, no figures, minor corrections, to appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732399001917

Grand canonical ensemble of small vortex loops emerging in the London limit of the effective Abelian-projected theory of the SU(3)-gluodynamics is investigated in the dilute gas approximation. An essential difference of this system from the SU(2)-case is the presence of two interacting gases of vortex loops. Two alternative representations for the partition function of such a grand canonical ensemble are derived, and one of them, which is a representation in terms of the integrals over vortex loops, is employed for the evaluation of the correlators of both kinds of loops in the low-energy limit.

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