Flux tube solutions in noncommutative gauge theories

TL;DR

This paper constructs nonperturbative classical flux tube solutions in noncommutative U(1) gauge theories, revealing quantized magnetic flux and monopole charge fractionization, advancing understanding of gauge configurations in noncommutative spaces.

Contribution

It introduces explicit nonperturbative flux tube solutions in noncommutative gauge theories, including monopole charge fractionization mechanisms.

Findings

Flux tubes have quantized magnetic flux.

Solutions differ nonperturbatively from the vacuum.

Monopole charge can be fractionalized in a magnetic field.

Abstract

We derive nonperturbative classical solutions of noncommutative U(1) gauge theory, with or without a Higgs field, representing static magnetic flux tubes with arbitrary cross-section. The fields are nonperturbatively different from the vacuum in at least some region of space. The flux of these tubes is quantized in natural units. We also point out that magnetic monopole charge can be fractionized by embedding the monopoles in a constant magnetic field.