Topological confinement of vortices in two-flavor dense QCD

Abstract

We find a novel confinement mechanism in the two-flavor dense quark matter proposed recently, that consists of the 2SC condensates and the $P$-wave diquark condensates of $d$-quarks. This quark matter exhibiting color superconductivity as well as superfluidity is classified into two phases; confined and deconfined phases of vortices. We establish that the criterion of the confinement is color neutrality of Aharonov-Bohm (AB) phases: vortices exhibiting color non-singlet AB phases are confined by the so-called AB defects to form color-singlet bound states. In the deconfined phase, the most stable vortices are non-Abelian Alice strings, which are superfluid vortices with fractional circulation and non-Abelian color magnetic fluxes therein, exhibiting color non-singlet AB phases. On the other hand, in the confined phase, these non-Abelian vortices are confined to either a baryonic or mesonic bound state in which constituent vortices are connected by AB defects. The baryonic bound state consists of three non-Abelian Alice strings with different color magnetic fluxes with the total flux canceled out connected by a domain wall junction, while the mesonic bound state consists of two non-Abelian Alice strings with the same color magnetic fluxes connected by a single domain wall. Interestingly, the latter contains a color magnetic flux in its core, but this can exist because of color neutrality of its AB phase.

arXiv comment35 pages, 3 figures

References in corpus (78)

• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• 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
• From hadrons to quarks in neutron stars: a review
• Vortices with fractional flux in two-gap superconductors and in extended Faddeev model
• Continuity of Quark and Hadron Matter
• Unlocking Color and Flavor in Superconducting Strange Quark Matter
• Hadron-Quark Crossover and Massive Hybrid Stars with Strangeness
• New Critical Point Induced by the Axial Anomaly in Dense QCD
• New Neutron Star Equation of State with Quark-Hadron Crossover
• Domain walls of relative phase in two-component Bose-Einstein condensates
• Phenomenological QCD equation of state for massive neutron stars
• Hadron-Quark Crossover and Massive Hybrid Stars
• Vortex molecules in coherently coupled two-component Bose-Einstein condensates
• QCD-like Theories on R_3\times S_1: a Smooth Journey from Small to Large r(S_1) with Double-Trace Deformations
• Semi-superfluid strings in High Density QCD
• Quantum Field Theory of Nonabelian Strings and Vortices
• Vortices and Other Topological Solitons in Dense Quark Matter
• Phase structure, collective modes, and the axial anomaly in dense QCD
• 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
• Topological Approach to Alice Electrodynamics
• Quark-hadron continuity beyond Ginzburg-Landau paradigm
• Confinement of Half-quantized Vortices in Coherently Coupled Bose-Einstein Condensates: Simulating Quark Confinement in QCD
• Non-Abelian Strings in Hot or Dense 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
• Colorful boojums at the interface of a color superconductor
• Vortex trimer in three-component Bose-Einstein condensates
• Fermion structure of non-Abelian vortices in high density QCD
• Confined Monopoles Induced by Quantum Effects in Dense QCD
• Color-magnetic flux tubes in quark matter cores of neutron stars
• 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
• Baryonic Bound State of Vortices in Multicomponent Superconductors
• Stability of superfluid vortices in dense quark matter
• Magnetic Properties of Quantized Vortices in Neutron ${}^3{P}_2$ Superfluids in Neutron Stars
• 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
• ${}^3{P}_2$ Superfluids Are Topological
• Reexamining Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluidity in neutron stars
• Continuity from neutron matter to two-flavor quark matter with ${}^1{S}_0$ and ${}^3{P}_2$ superfluidity
• Spectral Continuity in Dense QCD
• Non-Abelian statistics of vortices with multiple Majorana fermions
• Aharonov-Bohm Phase in High Density Quark Matter
• Ginzburg-Landau phase diagram for dense matter with axial anomaly, strange quark mass, and meson condensation
• Collision dynamics and reactions of fractional vortex molecules in coherently coupled Bose-Einstein condensates
• Phase structure of neutron ${}^3{P}_2$ superfluids in strong magnetic fields in neutron stars
• Effective gauge theories of superfluidity with topological order
• Quark description of the Nambu-Goldstone bosons in the color-flavor locked phase
• Non-Abelian Alice strings in two-flavor dense QCD
• Skyrmions in Yang--Mills Theories with Massless Adjoint Quarks
• Topological Defects in the Georgi-Machacek Model
• BPS Alice strings
• Critical endpoint and universality class of neutron ${}^3{P}_2$ superfluids in neutron stars
• Low-Energy Limit of Yang-Mills with Massless Adjoint Quarks: Chiral Lagrangian and Skyrmions
• The effective action of a BPS Alice string
• Vortex confinement transitions in the modified Goldstone model
• 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
• ${\mathbb{Z}}_n$ modified XY and Goldstone models and vortex confinement transition

Cited by in corpus (4)

• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• 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