Abstract
Within the non-Abelian SU(2) Proca-Higgs theory, we study localized axially symmetric solutions possessing a finite field energy. It is shown that in a certain sense such solutions are analogs of the Nielsen-Olesen tube, since they have a longitudinal magnetic field creating a flux of this field over the central cross section of the Proca tube. The main difference between the Proca tube and the Nielsen-Olesen tube is that the Proca tube is described by a topologically trivial solution and has finite size, since its energy density decreases exponentially with distance. The dependence of the total field mass of the Proca tube on the value of one of the parameters determining the solution is examined in detail. The solutions are obtained both in the presence and in the absence of external sources (charge and current densities).
Highlights
In recent years interest in systems involving various massive vector fields has increased considerably
In the present study we extend the results of Refs. [11,12,13] and examine axially symmetric solutions in the non-Abelian Proca-Higgs theory with a longitudinal color magnetic field directed along the symmetry axis and transverse electric fields located in a plane perpendicular to the symmetry axis
The crucial feature of these solutions is that they are localized in space and have the flux of the color magnetic Proca field passing through the central cross section of the Proca tube
Summary
In recent years interest in systems involving various massive vector fields has increased considerably. It is of great interest to get similar solutions describing finite-size objects; this implies that the field energy density should decrease away from the center of a configuration sufficiently fast In this connection, in the present study we extend the results of Refs. [11,12,13] and examine axially symmetric solutions in the non-Abelian Proca-Higgs theory with a longitudinal color magnetic field directed along the symmetry axis and transverse electric fields located in a plane perpendicular to the symmetry axis. We will study here particlelike solutions in the Proca-Higgs theory in which there is a color longitudinal Proca field directed along the symmetry axis; this enables us to call such solutions as Proca tubes with a flux of the magnetic field. In the present paper we will consider solutions belonging to the subgroup SUð2Þ ⊂ SUð3Þ spanned on the Gell-Mann matrices λ2;5;7
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
