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

TL;DR

This paper explores the structure of flux tubes in Abelian-projected SU(2) gauge theory, linking it to the dual Abelian Higgs model through duality, and confirms the composition of flux tubes via lattice simulations.

Contribution

It clarifies the connection between Abelian-projected flux tubes and the dual Abelian Higgs model using duality transformation, and demonstrates their composition through lattice results.

Findings

Flux tubes are composed of Coulombic and solenoidal electric fields.

The connection between AP flux tubes and the DAH model is established.

Lattice simulations confirm the dual-source structure of flux tubes.

Abstract

The structure of the flux-tube profile in Abelian-projected (AP) SU(2) gauge theory in the maximally Abelian gauge is studied. The connection between the AP flux tube and the classical flux-tube solution of the U(1) dual Abelian Higgs (DAH) model is clarified in terms of the path-integral duality transformation. This connection suggests that the electric photon and the magnetic monopole parts of the Abelian Wilson loop can act as separate sources creating the Coulombic and the solenoidal electric field inside a flux tube. The conjecture is confirmed by a lattice simulation which shows that the AP flux tube is composed of these two contributions.