1202.1952 (Dmitri Antonov)

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

Dmitri Antonov

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.

View original: http://arxiv.org/abs/1202.1952