Chiral non-Abelian vortices and their confinement in three flavor dense QCD

Abstract

We find chiral non-Abelian vortices having windings only in one of the diquark condensations of left-handed and right-handed quarks in the color-flavor locked phase of dense QCD. They are the minimum vortices carrying half color magnetic fluxes of those of non-Abelian semi-superfluid vortices (color magnetic flux tubes) and 1/6 quantized superfluid circulations of Abelian superfluid vortices. These vortices carry $\mathbb{C}{P}^2$ orientational moduli in the internal space corresponding to their fluxes. The $\mathbb{C}{P}^2$ moduli of two chiral non-Abelian vortices with chiralities opposite to each other are energetically favored to be aligned while those of a vortex and anti-vortex to be orthogonal, and then these vortices attract each other. They are attached by chiral domain walls in the presence of the mass and axial anomaly terms explicitly breaking axial and chiral symmetries. We numerically show that two chiral non-Abelian vortices with chiralities opposite to each other are connected by a chiral domain wall, consisting a mesonic bound state which is nothing but a non-Abelian semi-superfluid vortex. We also show that Abelian and non-Abelian axial vortices attached by chiral domain walls are all unstable to decay into a set of chiral non-Abelian vortices. Furthermore, we find that chiral non-Abelian vortices exhibit unique features: one is the so-called topological obstruction implying that unbroken symmetry generators in the bulk are not defined globally around the vortices, and the other is color non-singlet Aharonov-Bohm (AB) phases implying that quarks encircling these vortices can detect the colors of magnetic fluxes of them at infinite distances.

arXiv comment40 pages, 4 figures, title changed, discussions expanded, numerical solutions and references added, to appear in Phys.Rev.D

References in corpus (86)

• Generalized Global Symmetries
• Color superconductivity in dense quark matter
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Diquark Bose Condensates in High Density Matter and Instantons
• Vortices, Instantons and Branes
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Vortices with fractional flux in two-gap superconductors and in extended Faddeev model
• Solitons in the Higgs phase -- the moduli matrix approach --
• Vortex Strings and Four-Dimensional Gauge Dynamics
• Non-Abelian String Junctions as Confined Monopoles
• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Moduli Space of Non-Abelian Vortices
• Axial anomaly and magnetism of nuclear and quark matter
• Domain walls of relative phase in two-component Bose-Einstein condensates
• Instantons in the Higgs Phase
• Vortex molecules in coherently coupled two-component Bose-Einstein condensates
• The superfluid phases of quark matter: Ginzburg-Landau theory and color neutrality
• Vortex lattice structures of Sr${}_2$RuO${}_4$
• Semi-superfluid strings in High Density QCD
• Quantum Field Theory of Nonabelian Strings and Vortices
• Vortices and Other Topological Solitons in Dense Quark Matter
• Interaction of half-quantized vortices in two-component Bose-Einstein condensates
• Non-Abelian Strings in High Density QCD: Zero Modes and Interactions
• Non-abelian vortices and non-abelian statistics
• 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
• Crossover between integer and fractional vortex lattices in coherently coupled two-component Bose-Einstein condensates
• Deconfinement of Vortices with Continuously Variable Fractions of the Unit Flux Quanta in Two-Gap Superconductors
• Global Strings in High Density QCD
• Confinement and precession of vortex pairs in coherently coupled Bose-Einstein condensates
• Skyrmionic state and stable half-quantum vortices in chiral p-wave superconductors
• Topological Approach to Alice Electrodynamics
• Topological String Defect Formation During the Chiral Phase Transition
• Quark-hadron continuity beyond Ginzburg-Landau paradigm
• The Ginzburg-Landau Free Energy Functional of Color Superconductivity at Weak Coupling
• Ferromagnetic neutron stars: axial anomaly, dense neutron matter, and pionic wall
• Non-Abelian Strings in Hot or Dense QCD
• Confinement of Half-quantized Vortices in Coherently Coupled Bose-Einstein Condensates: Simulating Quark Confinement in QCD
• Berezinskii-Kosterlitz-Thouless transition of two-component Bose mixtures with inter-component Josephson coupling
• Anyonic particle-vortex statistics and the nature of dense quark matter
• Continuity of vortices from the hadronic to the color-flavor locked phase in dense matter
• Superfluid phases of quark matter, II: Phenomenology and sum rules
• Colorful boojums at the interface of a color superconductor
• Constraints on two Higgs doublet models from domain walls
• Non-Abelian strings and domain walls in two Higgs doublet models
• Fermion structure of non-Abelian vortices in high density QCD
• Non-Abelian Sine-Gordon Solitons
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Interactions of Non-Abelian Global Strings
• Magnetic vortex in color-flavor locked quark matter
• Higgs-confinement phase transitions with fundamental representation matter
• Quark-hadron continuity under rotation: Vortex continuity or boojum?
• Topological order in a color-flavor locked phase of $(3+1)$-dimensional $U(N)$ gauge-Higgs system
• Stability of superfluid vortices in dense quark matter
• 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
• Non-Abelian Global Vortices
• Continuity from neutron matter to two-flavor quark matter with ${}^1{S}_0$ and ${}^3{P}_2$ superfluidity
• Non-Abelian Global Strings at Chiral Phase Transition
• Non-abelian Topological Strings and Metastable States in Linear Sigma Model
• Dynamics of Nambu monopole in two Higgs doublet models -- Cosmological Monopole Collider --
• Color Magnetism in Non-Abelian Vortex Matter
• Non-Abelian statistics of vortices with multiple Majorana fermions
• Domain Walls and Vortices in Chiral Symmetry Breaking
• Anisotropic Optical Response of Dense Quark Matter under Rotation: Compact Stars as Cosmic Polarizers
• Aharonov-Bohm Phase in High Density Quark Matter
• Collision dynamics and reactions of fractional vortex molecules in coherently coupled Bose-Einstein condensates
• Topological Nambu monopole in two Higgs doublet models
• Effective gauge theories of superfluidity with topological order
• Non-Abelian Alice strings in two-flavor dense QCD
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --
• BPS Alice strings
• 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
• The effective action of a BPS Alice string
• Quark-Hadron Crossover with Vortices
• Low-energy Effective Worldsheet theory of a non-Abelian vortex in high-density QCD Revisited: A regular gauge construction
• Aharonov-Bohm defects
• Alice meets Boojums in neutron stars: vortices penetrating two-flavor quark-hadron continuity
• NonAbelian Vortices, Large Winding Limits and Aharonov-Bohm Effects
• Continuity from neutron matter to color-superconducting quark matter with ${}^3{P}_2$ superfluidity

Cited by in corpus (10)

• Relations among topological solitons
• Quantum nucleation of topological solitons
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Core structures of vortices in Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluids
• Proximity effects of vortices in neutron ${}^3{P}_2$ superfluids in neutron stars: Vortex core transitions and covalent bonding of vortex molecules
• The Schwinger function, confinement and positivity violation in pure gauge QED
• Chiral non-Abelian vortex molecules in dense QCD
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory