Generalized flux-tube solution in Abelian-projected SU(N) gauge theory

Abstract

The [U(1)]^{N-1} dual Ginzburg-Landau (DGL) theory as a low-energy effective theory of Abelian-projected SU(N) gauge theory is formulated in a Weyl symmetric way. The string tensions of flux-tube solutions of the DGL theory associated with color-electric charges in various representations of SU(N) are calculated analytically at the border between type-I and type-II of the dual superconducting vacuum (Bogomol'nyi limit). The resulting string tensions satisfy the flux counting rule, which reflects the non-Abelian nature of gauge theory.

8 pages, 1 figure, revtex4 is used, references are added

References in corpus (7)

• Confining strings in SU(N) gauge theories
• Spectrum of confining strings in SU(N) gauge theories
• k-string tensions in SU(N) gauge theories
• Casimir scaling in a dual superconducting scenario of confinement
• On the dynamics of color magnetic monopoles in full QCD
• Effective string action for the U(1)xU(1) dual Ginzburg-Landau theory beyond the London limit
• Towards the String representation of the dual Abelian Higgs model beyond the London limit

Cited by in corpus (3)

• 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
• k-string tensions in the 4-d SU(N)-inspired dual Abelian-Higgs-type theory
• Casimir scaling hypothesis on the nonperturbative force in QCD vs. dual superconducting scenario of confinement