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

TL;DR

This paper derives an effective string action for the U(1) x U(1) dual Ginzburg-Landau theory, incorporating finite flux tube thickness, revealing a modified Yukawa interaction that simplifies in the London limit.

Contribution

It extends the effective string action formulation to the U(1) x U(1) DGL theory beyond the London limit, accounting for finite flux tube thickness.

Findings

Modified Yukawa interaction due to finite flux tube thickness

Effective string action similar to U(1) DAH model

Interaction reduces to Yukawa form in 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.