Color Magnetic Flux Tubes in Dense QCD

Abstract

QCD is expected to be in the color-flavor locking phase in high baryon density, which exhibits color superconductivity. The most fundamental topological objects in the color superconductor are non-Abelian vortices which are topologically stable color magnetic flux tubes. We present numerical solutions of the color magnetic flux tube for diverse choices of the coupling constants. We also analytically study its asymptotic profiles and find that they are different from the case of usual superconductors. We propose the width of color magnetic fluxes and find that it is larger than naive expectation of the Compton wave length of the massive gluon when the gluon mass is larger than the scalar mass.

24 pages, 5 figures; v2: typos corrected, references added, minor changes; v3: published version

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Cited by in corpus (73)

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• Instabilities of Non-Abelian Vortices 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
• Chiral Gravitational Waves and Baryon Superfluid Dark Matter
• Anyonic particle-vortex statistics and the nature of dense quark matter
• Berezinskii-Kosterlitz-Thouless transition of two-component Bose mixtures with inter-component Josephson coupling
• Colorful boojums at the interface of a color superconductor
• 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
• Confined Monopoles Induced by Quantum Effects in Dense QCD
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• 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
• Relations among topological solitons
• The Nambu sum rule and the relation between the masses of composite Higgs bosons
• Confined Magnetic Monopoles in Dense QCD
• Baryonic Bound State of Vortices in Multicomponent Superconductors
• Stability of superfluid vortices in dense quark matter
• Index theorem and Majorana zero modes along a non-Abelian vortex in a color superconductor
• Magnetic Properties of Quantized Vortices in Neutron ${}^3{P}_2$ Superfluids in Neutron Stars
• Spontaneous Magnetization through Non-Abelian Vortex Formation in Rotating Dense Quark Matter
• Vortex lattices in three-component Bose-Einstein condensates under rotation: simulating colorful vortex lattices in a color superconductor
• Decomposing Instantons in Two Dimensions
• Majorana meets Coxeter: Non-Abelian Majorana Fermions and Non-Abelian Statistics
• Topological Interactions of Non-Abelian Vortices with Quasi-Particles in High Density QCD
• Fractional and semi-local non-Abelian Chern-Simons vortices
• Reexamining Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluidity in neutron stars
• Dynamics of Nambu monopole in two Higgs doublet models -- Cosmological Monopole Collider --
• Color Magnetism in Non-Abelian Vortex Matter
• Domain Walls and Vortices in Chiral Symmetry Breaking
• Non-Abelian statistics of vortices with multiple Majorana fermions
• Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
• Anisotropic Optical Response of Dense Quark Matter under Rotation: Compact Stars as Cosmic Polarizers
• Aharonov-Bohm Phase in High Density Quark Matter
• Standard Model as the topological material
• Josephson instantons and Josephson monopoles in a non-Abelian Josephson junction
• The Meissner Effect and Vortex Expulsion in Color-Superconducting Quark stars, and its Role for Re-heating of Magnetars
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Non-Abelian Alice strings in two-flavor dense QCD
• Fractional Skyrmion molecules in a $\mathbb{C}{P}^{N-1}$ model
• Domain walls in neutron ${}^3{P}_2$ superfluids in neutron stars
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --
• Topological Defects in the Georgi-Machacek Model
• Collective modes in the color flavor locked phase
• New color-magnetic defects in dense quark matter
• Non-Abelian Quasi-Gapless Modes Localized on Mass Vortices in Superfluid 3He-B
• Coupling between Majorana fermions and Nambu-Goldstone bosons inside a non-Abelian vortex in dense QCD
• Topological confinement of vortices in two-flavor dense QCD
• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• Coexistence phase of ${}^1{S}_0$ and ${}^3{P}_2$ superfluids in neutron stars
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Non-Abelian statistics of vortices with non-Abelian Dirac fermions
• Topological defects at the boundary of neutron ${}^3{P}_2$ superfluids in neutron stars
• Quark-Hadron Crossover with Vortices
• Aharonov-Bohm defects
• Higgs-confinement continuity and matching of Aharonov-Bohm phases
• Low-energy Effective Worldsheet theory of a non-Abelian vortex in high-density QCD Revisited: A regular gauge construction
• Confining solitons in the Higgs phase of $\mathbb{C}{P}^{N-1}$ model: Self-consistent exact solutions in large-$N$ limit
• Alice meets Boojums in neutron stars: vortices penetrating two-flavor quark-hadron continuity
• Non-Abelian Vortex-String Dynamics from Nonlinear Realization
• Quantum Exact Non-Abelian Vortices in Non-relativistic Theories
• Stabilizing semilocal strings by polarization
• Dynamics of global and local vortices with orientational moduli
• Some comments about emission channels of non abelian vortices
• Dual formulations of vortex strings in supersymmetric Abelian Higgs model
• Confinement and moduli locking of Alice strings and monopoles
• Chiral non-Abelian vortex molecules in dense QCD
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory
• Multicomponent Superfluids and Superconductors in Dense Nuclear and Quark Matter