Weyl Invariant Formulation of Flux-Tube Solution in the Dual Ginzburg-Landau Theory
نویسندگان
چکیده
The flux-tube solution in the dual Ginzburg-Landau (DGL) theory in the Bogomol’nyi limit is studied by using the manifestly Weyl invariant form of the DGL Lagrangian. The dual gauge symmetry is extended to [U(1)]m, and accordingly, there appear three different types of the flux-tube. The string tension for each flux-tube is calculated analytically and is found to be the same owing to the Weyl symmetry. It is suggested that the flux-tube can be treated in quite a similar way with the Abrikosov-Nielsen-Olesen vortex in the U(1) Abelian Higgs theory except for various types of flux-tube. Key Word: Dual Ginzburg-Landau theory, Weyl symmetry, flux-tube, Bogomol’nyi limit PACS number(s): 12.38.Aw, 12.38.Lg Typeset using REVTEX Email address: [email protected] 1
منابع مشابه
Weyl symmetric representation of hadronic flux tubes in the dual Ginzburg-Landau theory
Hadronic flux-tube solutions describing the mesonic and the baryonic states within the dual Ginzburg-Landau (DGL) theory are investigated by using the dual lattice formulation in the Weyl-symmetric approach. The shape of the flux tubes is determined by placement of the colorelectric Dirac-string singularity treated as a connected stack of quantized plaquettes in the dual lattice formulation. Th...
متن کاملA possible origin of the Casimir scaling of the nonperturbative force
The Casimir scaling phenomena of the nonperturbative force is viewed in terms of the hadronic flux tube as described by the dual Ginzburg-Landau (DGL) theory, the dual superconducting scenario of confinement. The ratios of the string tension of flux tube between higher and fundamental SU(3) representations, dD ≡ σD/σD=3, are systematically studied in a Weyl symmetric formulation of the DGL theo...
متن کاملEffective string action for the U(1)xU(1) dual Ginzburg-Landau theory beyond the London limit
The effective string action of the color-electric flux tube in the U(1)×U(1) dual Ginzburg-Landau (DGL) theory is studied by performing a path-integral analysis by taking into account the finite thickness of the flux tube. The DGL theory, corresponding to the low-energy effective theory of Abelian-projected SU(3) gluodynamics, can be expressed as a [U(1)]3 dual Abelian Higgs (DAH) model with a ...
متن کاملEffective string action for the U(1)×U(1) dual Ginzburg-Landau theory beyond the London limit
The effective string action of the color-electric flux tube in the U(1)×U(1) dual Ginzburg-Landau (DGL) theory is studied by performing a path-integral analysis by taking into account the finite thickness of the flux tube. The DGL theory, corresponding to the low-energy effective theory of Abelian-projected SU(3) gluodynamics, can be expressed as a [U(1)]3 dual Abelian Higgs (DAH) model with a ...
متن کاملSystematics of flux tubes in the dual Ginzburg-Landau theory and Casimir scaling hypothesis: folklore and lattice facts
The ratios between string tensions σD of color-electric flux tubes in higher and fundamental SU(3) representations, dD ≡ σD/σ3, are systematically studied in a Weyl symmetric formulation of the DGL theory. The ratio is found to depend on the Ginzburg-Landau (GL) parameter, κ ≡ mχ/mB, the mass ratio between monopoles (mχ) and dual gauge bosons (mB). While the ratios dD follow a simple flux count...
متن کامل