Effective string action for the U(1)xU(1) dual Ginzburg-Landau theory beyond the London limit

Abstract

The effective string action of the color-electric flux tube in the U(1) x U(1) dual Ginzburg-Landau (DGL) theory is studied by performing a path-integral analysis by taking into accountthe 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 s [U(1)]^{3} dual Abelian Higgs (DAH) model with a certain constraint in the Weyl symmetric formulation. This formulation allows us to adopt quite similar path-integral techniques as in the U(1) DAH model, and therefore, the resulting effective string action in the U(1) x U(1) DGL theory has also quite a similar structure except the number of color degrees of freedom. A modified Yukawa interaction appears as a boundary contribution, which is completely due to the finite thickness of the flux tube, and is reduced into the ordinary Yukawa interaction in the deep type-II (London) Limit.

17 pages, 1 eps figure, The version accepted for publication in Nucl. Phys. B

References in corpus (2)

• On the dynamics of color magnetic monopoles in full QCD
• Towards the String representation of the dual Abelian Higgs model beyond the London limit

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• Generalized flux-tube solution in Abelian-projected SU(N) gauge theory
• Confinement in the Abelian-Higgs-type theories: string picture and field correlators