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.

arXiv comment10 pages, 3 figures, clarification added in Introduction, reference added

References in corpus (22)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Color superconductivity in dense quark matter
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Superconducting density of states and vortex cores of 2H-NbS2
• Unlocking Color and Flavor in Superconducting Strange Quark Matter
• Semi-superfluid strings in High Density QCD
• Vortices in Superfluid Fermi Gases through the BEC to BCS Crossover
• Non-Abelian Strings in High Density QCD: Zero Modes and Interactions
• Superfluid phases of quark matter. III. Supercurrents and vortices
• Instabilities of Non-Abelian Vortices in Dense QCD
• Color Magnetic Flux Tubes in Dense QCD
• Color Magnetic Flux Tubes in Dense QCD. II: Effective World-Sheet Theory
• Tunneling Spectroscopy and Vortex Imaging in Boron-Doped Diamond
• Global Strings in High Density QCD
• Non-Abelian Strings in Hot or Dense QCD
• Is a color superconductor topological?
• Interactions of Non-Abelian Global Strings
• Magnetic vortex in color-flavor locked quark matter
• Vortex structure of a neutron star with CFL quark core
• Andreev reflection at QGP/CFL interface

Cited by in corpus (33)

• Vortices and Other Topological Solitons in Dense Quark Matter
• Interaction of half-quantized vortices in two-component Bose-Einstein condensates
• Quark-hadron continuity beyond Ginzburg-Landau paradigm
• Colorful boojums at the interface of a color superconductor
• Non-Abelian strings and domain walls in two Higgs doublet models
• Confined Monopoles Induced by Quantum Effects in Dense QCD
• Quark-hadron continuity under rotation: Vortex continuity or boojum?
• Relations among topological solitons
• Confined Magnetic Monopoles in Dense QCD
• Index theorem and Majorana zero modes along a non-Abelian vortex in a color superconductor
• Spontaneous Magnetization through Non-Abelian Vortex Formation in Rotating Dense Quark Matter
• Majorana meets Coxeter: Non-Abelian Majorana Fermions and Non-Abelian Statistics
• Fractional and semi-local non-Abelian Chern-Simons vortices
• Dirac returns: non-Abelian statistics of vortices with Dirac fermions
• Non-Abelian statistics of vortices with multiple Majorana fermions
• Anisotropic Optical Response of Dense Quark Matter under Rotation: Compact Stars as Cosmic Polarizers
• Aharonov-Bohm Phase in High Density Quark Matter
• Non-Abelian Alice strings in two-flavor dense QCD
• Z${}_2$ index theorem for Majorana zero modes in a class D topological superconductor
• Topological Defects in the Georgi-Machacek Model
• Topological confinement of vortices in two-flavor dense QCD
• Coupling between Majorana fermions and Nambu-Goldstone bosons inside a non-Abelian vortex in dense QCD
• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Non-Abelian statistics of vortices with non-Abelian Dirac fermions
• Quark-Hadron Crossover with Vortices
• Low-energy Effective Worldsheet theory of a non-Abelian vortex in high-density QCD Revisited: A regular gauge construction
• Quantum Monte Carlo simulation of a two-dimensional Majorana lattice model
• Non-Abelian vortices in the emergent U(2) gauge theory of the Hubbard model
• Neutrino zeromodes on electroweak strings in light of topological insulators
• Stable non-Abelian semi-superfluid vortices in dense QCD
• Chiral non-Abelian vortex molecules in dense QCD
• Momentum space topology of QCD