Fermion structure of non-Abelian vortices in high density QCD

Abstract

We study the internal structure of a non-Abelian vortex in color superconductivity with respect to quark degrees of freedom. Stable non-Abelian vortices appear in the Color-Flavor-Locked phase whose symmetry SU(3)_{c+L+R} is further broken to SU(2)_{c+L+R} x U(1)_{c+L+R} at the vortex cores. Microscopic structure of vortices at scales shorter than the coherence length can be analyzed by the Bogoliubov-de Gennes (B-dG) equation (rather than the Ginzburg-Landau equation). We obtain quark spectra from the B-dG equation by treating the diquark gap having the vortex configuration as a background field. We find that there are massless modes (zero modes) well-localized around a vortex, in the triplet and singlet states of the unbroken symmetry SU(2)_{c+L+R} x U(1)_{c+L+R}. The velocities v_i of the massless modes (i=t,s for triplet and singlet) change at finite chemical potential μ, and decrease as μbecomes large. Therefore, low energy excitations in the vicinity of the vortices are effectively described by 1+1 dimensional massless fermions whose velocities are reduced v_i<1.

10 pages, 3 figures, clarification added in Introduction, reference added

References in corpus (5)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Color superconductivity in dense quark matter
• Superconducting density of states and vortex cores of 2H-NbS2
• Interactions of Non-Abelian Global Strings
• Vortex structure of a neutron star with CFL quark core

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• Fractional and semi-local non-Abelian Chern-Simons vortices
• Non-Abelian statistics of vortices with multiple Majorana fermions
• Anisotropic Optical Response of Dense Quark Matter under Rotation: Compact Stars as Cosmic Polarizers
• Non-Abelian Alice strings in two-flavor dense QCD
• Z${}_2$ index theorem for Majorana zero modes in a class D topological superconductor
• Topological confinement of vortices in two-flavor dense QCD
• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Neutrino zeromodes on electroweak strings in light of topological insulators
• Chiral non-Abelian vortex molecules in dense QCD