Towards the String representation of the dual Abelian Higgs model beyond the London limit

TL;DR

This paper analyzes the string representation of the dual Abelian Higgs model beyond the London limit, revealing additional vortex core effects and modified interactions in the flux tube description.

Contribution

It extends the dual Abelian Higgs model analysis beyond the London limit, incorporating finite vortex thickness and boundary effects.

Findings

Vortex core contributes to string tension

Modified Yukawa interaction appears in type-II vacuum

In the London limit, the interaction reduces to standard Yukawa

Abstract

We perform a path-integral analysis of the string representation of the dual Abelian Higgs (DAH) model beyond the London limit, where the string describing the vortex of a flux tube has a finite thickness. We show that besides an additional vortex core contribution to the string tension, a modified Yukawa interaction appears as a boundary contribution in the type-II dual superconducting vacuum. In the London limit, the modified Yukawa interaction is reduced to the Yukawa one.