Stable finite energy global vortices and asymptotic freedom

Abstract

This work deals with global vortices in the three-dimensional spacetime. We study the case of a simple model with $U(1)$ symmetry and find a way to describe stable, finite energy global vortices. The price we pay to stabilize the solution is the presence of scale invariance, but we have found a way to trade it with an electric charge in a medium with generalized permittivity, which is further used to capture the basic feature of asymptotic freedom.

arXiv comment6 pages, 3 figures. To appear in EPL

References in corpus (20)

• Exploring the Higgs portal
• Observation of Solitonic Vortices in Bose-Einstein Condensates
• New Global Defect Structures
• Topological nodal Cooper pairing in doped Weyl metals
• Kinks in a non-linear massive sigma model
• The lightest visible-sector supersymmetric particle is likely to be unstable
• Exact solutions, energy and charge of stable Q-balls
• Gravitational smoothing of kinks on cosmic string loops
• Magnetic monopoles with internal structure
• Topological strength of magnetic skyrmions
• Maxwell-Higgs vortices with internal structure
• New solutions for non-Abelian cosmic strings
• Topological Excitations in Magnetic Materials
• Instabilities and Solitons in Minimal Strips
• Creation of Magnetic Monopoles in Classical Scattering
• Magnetic Domain Wall Pumping by Spin Transfer Torque
• Dirac field in the background of a planar defect
• Twisted Sisters: KK Monopoles and their Zero Modes
• Confinement from new global defect structures
• Semi-Compact Skyrmion-like Structures

Cited by in corpus (2)

• Electrically charged localized structures
• Vortices in Maxwell-Chern-Simons-Higgs models with nonminimal coupling