Analogue of black string in the Yang--Mills gauge theory

Abstract

The classical Yang--Mills equations are analyzed within the geometrical framework of an effective gravity theory. Exact analytical solutions are derived for the cylindrically symmetric configurations of the coupled gauge and isoscalar fields. It turns out that there is an infinite family of solutions parametrized by two real parameters, one of which determines the asymptotic behavior of fields near the symmetry axis and in infinity, while the second locates the singularity. These configurations have a simple pole at a finite value of the radial coordinate, and physically they represent ``thick string''-like objects which possess the confinement properties. It is demonstrated that the particles with gauge charge cannot move classically and quantum mechanically out of the interior region. Such an objects are thus direct analogues of the ``black string'' gravitational configurations reported recently in the literature.