Casimir scaling in a dual superconducting scenario of confinement

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, $d_D\equiv {\sigma }_D/{\sigma }_F$, 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 $d_D$.

arXiv comment14 pages, 3 eps figures, RevTex. The version accepted for publication in Phys.Rev.D (Rapid Communications)

References in corpus (10)

• Casimir scaling of SU(3) static potentials
• Color Confinement, Quark Pair Creation and Dynamical Chiral-Symmetry Breaking in the Dual Ginzburg-Landau Theory
• Casimir Scaling from Center Vortices: Towards an Understanding of the Adjoint String Tension
• Static SU(3) potentials for sources in various representations
• Casimir scaling as a test of QCD vacuum
• Towards Abelian-like formulation of the dual gluodynamics
• Flux-Tube Ring and Glueball Properties in the Dual Ginzburg-Landau Theory
• Abelian dominance and adjoint sources in lattice QCD
• Weyl Invariant Formulation of Flux-Tube Solution in the Dual Ginzburg-Landau Theory
• Classical String Solutions in Effective Infrared Theory of SU(3) Gluodynamics

Cited by in corpus (18)

• Confining strings in SU(N) gauge theories
• Spectrum of confining strings in SU(N) gauge theories
• Chromoelectric flux tubes and coherence length in QCD
• k-string tensions in SU(N) gauge theories
• Flux tubes in the SU(3) vacuum: London penetration depth and coherence length
• Duality of gauge field singularities and the structure of the flux tube in Abelian-projected SU(2) gauge theory and the dual Abelian Higgs model
• Quantum broadening of k-strings in gauge theories
• Flux tubes at finite temperature
• Low-lying spectrum of the Y-string three-quark potential using hyper-spherical coordinates
• The volume dependence of the long-range two-body potentials in various color channels by lattice QCD
• $k$-Strings with exact Casimir law and Abelian-like profiles
• k-string tensions in the 4-d SU(N)-inspired dual Abelian-Higgs-type theory
• Exploring center vortices in SU(2) and SU(3) relativistic Yang-Mills-Higgs models
• $\mathrm{SU}(N)\to \mathrm{Z}(N)$ dual superconductor models: the magnetic loop ensemble point of view
• The conformal anomaly of k-strings
• Generalized flux-tube solution in Abelian-projected SU(N) gauge theory
• On the Landau Ginzburg theory of MAG projected SU(2) lattice gauge theory
• K-string tensions at finite temperature and integrable models