Classical string solutions in effective infrared theory of SU(3) gluodynamics

We investigate string solutions to the classical equations of motion (“classical QCD strings”) for a dual Ginzburg–Landau model corresponding to SU(3) gluodynamics in an abelian projection. For a certain relation between couplings of the model the string solutions are defined by first order differential equations. These solutions are related to vortex configurations of the Abelian Higgs model in the Bogomolʹny limit. An analytic expression for the string tension is derived and the string–string interactions are discussed. Our results imply that the vacuum of SU(3) gluodynamics is near a border between type-I and type-II dual superconductivity.