Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-11-05
Phys.Lett. B506 (2001) 303-310
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, LaTeX2e, no figures, new discussions of the obtained results are added, to appear in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(01)00239-8
An integral relation between two functions parametrizing the bilocal field strength correlator within the Stochastic Vacuum Model is obtained in the effective Abelian-projected SU(2)-theory. This relation is independent of the concrete properties of the ensemble of vortex loops, which are present in the theory under study. By virtue of the lattice result stating that the infrared asymptotic behaviours of these functions should have the same functional form, the obtained relation enables one to find these behaviours, as well as the infrared asymptotics of the bilocal correlator of densities of the vortex loops. Those turn out to be exponentials, decreasing at the inverse mass of the dual vector boson, times certain polynomials in the inverse integer powers of the distance. This result agrees with the general predictions and the existing lattice data better than the results of previous calculations, where these powers were found to be half-integer ones.
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