Effective string action for the U\((1)\times\text{U}(1)\) dual Ginzburg-Landau theory beyond the London limit. (English) Zbl 1005.81045
Summary: The effective string action of the color-electric flux tube in the U\((1)\times\text{U}(1)\) 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 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\((1)\times\text{U}(1)\) 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.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81V05 | Strong interaction, including quantum chromodynamics |
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