Non-Abelian Global Vortices

Abstract

We study topologically stable non-Abelian global vortices in the U(N) linear sigma model. The profile functions of the solutions are numerically obtained. We investigate the behaviour of vortices in two limits in which masses of traceless or trace parts of massive bosons are much larger than the others. In the limit that the traceless parts are much heavier, we find a somewhat bizarre vortex solution carrying a non-integer U(1) winding number 1/\sqrt{N} which is irrational in general.

28 pages, 6 figures

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• Color Magnetic Flux Tubes in Dense QCD
• Color Magnetic Flux Tubes in Dense QCD. II: Effective World-Sheet Theory
• Cosmic strings and their induced non-Gaussianities in the cosmic microwave background
• Light Dilaton at Fixed Points and Ultra Light Scale Super Yang Mills
• Non-Abelian Sine-Gordon Solitons
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Color-magnetic flux tubes in quark matter cores of neutron stars
• Relations among topological solitons
• Topological Interactions of Non-Abelian Vortices with Quasi-Particles in High Density QCD
• Fractional and semi-local non-Abelian Chern-Simons vortices
• Domain Walls and Vortices in Chiral Symmetry Breaking
• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• Non-Abelian Vortices in Holographic Superconductors
• Simulation of two-flavors symmetry-locking phases in ultracold fermionic mixtures
• Pion String evolving in a thermal bath
• Non-Abelian vortex in lattice gauge theory
• Dyonic non-Abelian vortex strings in supersymmetric and non-supersymmetric theories: tensions and higher derivative corrections
• SM gauge fields localized on non-Abelian vortices in 6 dimensions
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory