Flux Tube Solution in 5D Kaluza-Klein Theory

TL;DR

This paper derives spherically symmetric vacuum solutions in 5D and 7D Kaluza-Klein theories, revealing flux tube structures that resemble those in superconductors and QCD, with constant cross-sections and specific charge distributions.

Contribution

It presents new exact flux tube solutions in higher-dimensional Kaluza-Klein theories, connecting geometric solutions to physical flux tube phenomena in other fields.

Findings

Solutions are flux tubes with constant cross-section.

Charges are located at infinity, filled with constant fields.

Resembles flux tubes in superconductors and QCD.

Abstract

Spherically symmetric, vacuum solutions in 5D and 7D Kaluza-Klein theory are obtained. These solutions are flux tubes with constant cross-sectional size, located between (+) and (-) Kaluza-Klein's ``electrical'' and ``magnetic'' charges disposed respectively at $\pm\infty$ and filled by constant Kaluza-Klein ``electrical'' and ``magnetic'' fields. These objects are surprisingly similar to the flux tubes which forms between two monopoles in Type-II superconductors and also the hypothesized color field flux tube that is thought to form between two quarks in the QCD vacuum.