Analogue of Black Strings in Yang-Mills Gauge Theory

The classical Yang–Mills equations areanalyzed within the geometrical framework of aneffective gravity theory. Exact analytical solutions arederived for the cylindrically symmetric configurationsof the coupled gauge and isoscalar fields. Itturns out that there is an infinite family of solutionsparametrized by two real parameters, one of whichdetermines the asymptotic behavior of fields near the symmetry axis and in infinity, while the secondlocates the singularity. These configurations have asimple pole at a finite value of the radial coordinate,and physically they represent “thickstring”-like objects which possess the confinementproperties. It is demonstrated that the particles withgauge charge cannot move classically and quantummechanically out of the interior region. Such objectsare thus direct analogues of the “blackstring” gravitational configurations reportedrecently in the literature.