Casimir scaling in a dual superconducting scenario of confinement

Mar, 2001
13 pages
Published in:
  • Phys.Rev.D 64 (2001) 011501
e-Print:
Report number:
  • RCNP-TH-01006

Citations per year

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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, dDσD/σFd_{D} \equiv \sigma_{D}/\sigma_{F}, are found to depend only on the Ginzburg-Landau (GL) parameter, κ=mχ/mB\kappa = m_{\chi}/m_{B}, the mass ratio between monopoles mχm_\chi and dual gauge bosons mBm_B. In the case of the Bogomol'nyi limit (κ=1\kappa=1), analytical values of dDd_{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=59\kappa=5 \sim 9 for various ratios dDd_D.
  • gauge field theory: SU(3)
  • flux tube
  • string tension: ratio
  • charge: static
  • Landau-Ginzburg model
  • superconductivity: duality
  • algebra: representation
  • mass ratio: dependence
  • mass: monopole
  • gauge boson: mass