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arXiv · hep-ph/0103162

Casimir scaling in a dual superconducting scenario of confinement

Y. Koma·E. -M. Ilgenfritz·H. Toki·T. Suzuki
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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, $d_{D} \equiv σ_{D}/σ_{F}$, are found to depend only on the Ginzburg-Landau (GL) parameter, $κ= m_χ/m_{B}$, the mass ratio between monopoles $m_χ$ and dual gauge bosons $m_B$. In the case of the Bogomol'nyi limit ($κ=1$), analytical values of $d_{D}$ 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 $κ=5 \sim 9$ for various ratios $d_D$.

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Y. Koma, E. -M. Ilgenfritz, H. Toki, T. Suzuki. 2001-04-26. Casimir scaling in a dual superconducting scenario of confinement. https://doi.org/10.1103/physrevd.64.011501

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