The Aharonov-Bohm effect in a spatially confining theory based on a turbulent fluid

Details The Aharonov-Bohm effect in a spatially confining theory based on a turbulent fluid The Aharonov-Bohm effect in a spatially confining theory based on a turbulent fluid

2012-02-09

arxiv.org/abs/1202.1952v1

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

Wilson loops in a turbulent fluid are shown to respect a specific area law corresponding to the Kolmogorov scaling. This law leads to the condensation of a complex-valued scalar field minimally coupled to the velocity field. We use this finding to estimate a v.e.v. of the dual Higgs field, which appears in the hydrodynamic description of a spatially confining dual Landau-Ginzburg theory. The temperature dependence of all other parameters of this theory is found upon a comparison with the spatial string tension and the chromo-magnetic vacuum correlation length of the Yang-Mills gluon plasma. In particular, a nonperturbative contribution to the shear viscosity of the dual fluid comes out exponentially suppressed with temperature. Interactions of the dual Abrikosov vortices with excitations of the fluid yield a long-range Aharonov-Bohm effect. This effect is shown to take place for all but calculated discrete values of the product of the kinematic viscosity of the fluid to the coupling constant of the dual Higgs and velocity fields. In the presence of a Chern-Simons term with the parameter \Theta, these discrete values remain the same for sufficiently large values of \Theta. Furthermore, the Chern-Simons term leads to the appearance of knotted dual Abrikosov vortices.

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