Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-03-14
Phys.Rev.D64:011501,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, 3 eps figures, RevTex. The version accepted for publication in Phys.Rev.D (Rapid Communications)
Scientific paper
10.1103/PhysRevD.64.011501
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, $d_{D} \equiv \sigma_{D}/\sigma_{F}$, are found to depend only on the Ginzburg-Landau (GL) parameter, $\kappa = m_{\chi}/m_{B}$, the mass ratio between monopoles $m_\chi$ and dual gauge bosons $m_B$. In the case of the Bogomol'nyi limit ($\kappa=1$), 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 $\kappa=5 \sim 9$ for various ratios $d_D$.
Ilgenfritz Ernst-Michael
Koma Yoshiaki
Suzuki Toshiya
Toki Hiroshi
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