Casimir scaling in a dual superconducting scenario of confinement

Y. Koma; E. -M. Ilgenfritz; H. Toki; T. Suzuki

doi:10.1103/PhysRevD.64.011501

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Casimir scaling in a dual superconducting scenario of confinement

Y. Koma, E. -M. Ilgenfritz, H. Toki, T. Suzuki

DOI 10.1103/PhysRevD.64.011501 · Physical Review D

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Abstract

The string tensions of flux tubes associated with static charges in various SU(3) representations are studied within the dual Ginzburg-Landau (DGL) theory. The ratios of the string tensions between higher and fundamental representations, dD≡σD/σF, are found to depend only on the Ginzburg-Landau (GL) parameter, κ=mχ/mB, the mass ratio between monopoles mχ and dual gauge bosons mB. In the case of the Bogomol’nyi limit (κ=1), analytical values of dD are easily obtained by adopting the manifestly Weyl invariant formulation of the DGL theory, which are provided simply by the number of color-electric Dirac strings inside the flux tube. A numerical investigation of the ratio for various GL-parameter cases is also performed, which suggests that the Casimir scaling is obtained in the type-II parameter range within the interval κ=5∼9 for various ratios dD.