Casimir scaling hypothesis on the nonperturbative force in QCD vs. dual superconducting scenario of confinement

We discuss the Casimir scaling hypothesis on the nonperturbative force in terms of the dual superconducting picture of the QCD vacuum by calculating the string tensions of flux tubes associated with static charges in various SU(3) representations in the dual Ginzburg-Landau (DGL) theory.Comment: 4 pages, 1 figure, Talk given at XVI International Conference on Particles and Nuclei (PaNic02), Osaka, Japan, Sep.30 - Oct.4, 200

Static potential, force, and flux-tube profile in 4D compact U(1) lattice gauge theory with the multi-level algorithm

The long range properties of four-dimensional compact U(1) lattice gauge theory with the Wilson action in the confinement phase is studied by using the multi-level algorithm. The static potential, force and flux-tube profile between two static charges are successfully measured from the correlation function involving the Polyakov loop. The universality of the coefficient of the 1/r correction to the static potential, known as the Luescher term, and the transversal width of the flux-tube profile as a function of its length are investigated. While the result supports the presence of the 1/r correction, the width of the flux tube shows an almost constant behavior at a large distance.Comment: 30 pages, 24 eps figures, error analysis redone, comments added, version to appear in Nucl. Phys.