Classical String Solutions in Effective Infrared Theory of SU(3) Gluodynamics

TL;DR

This paper explores classical string solutions within an effective infrared model of SU(3) gluodynamics, revealing their relation to vortex configurations and implications for the vacuum's dual superconductivity type.

Contribution

It derives analytic expressions for string tension and discusses string interactions, connecting classical solutions to vortex configurations in a dual Ginzburg-Landau model.

Findings

String solutions are described by first order differential equations.

Analytic expression for string tension is obtained.

Vacuum of SU(3) gluodynamics is near the boundary between type-I and type-II dual superconductivity.

Abstract

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 Bogomol'ny 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.