Linear energy density and the flux of an electric field in Proca tubes

TL;DR

This paper investigates cylindrically symmetric solutions in SU(3) non-Abelian Proca theory coupled with a Higgs field, revealing flux tubes with electric or energy flux that depend on the Higgs field presence and exhibit a dual Meissner effect.

Contribution

It demonstrates the existence of flux tube solutions in SU(3) Proca-Higgs theory, highlighting the crucial role of the Higgs field in their formation and properties.

Findings

Flux tubes depend on the Higgs field presence.

Solutions exhibit the dual Meissner effect.

Integral characteristics depend on boundary potentials.

Abstract

We study cylindrically symmetric solutions within SU(3) non-Abelian Proca theory coupled to a Higgs scalar field. The solutions describe tubes containing either the flux of a color electric field or the energy flux and momentum. It is shown that the existence of such tubes depends crucially on the presence of the Higgs field (there are no such solutions without this field). We examine the dependence of the integral characteristics (linear energy and momentum densities) on the values of the electromagnetic potentials at the center of the tube, as well as on the values of the coupling constant of the Higgs scalar field. The solutions obtained are topologically trivial and they demonstrate the dual Meissner effect: the electric field is pushed out by the Higgs scalar field.