Quark-hadron continuity under rotation: Vortex continuity or boojum?

Abstract

Quark-hadron continuity was proposed as crossover between hadronic matter and quark matter without a phase transition, based on the matching of the symmetry and excitations in both phases. In the limit of a light strange-quark mass, it connects hyperon matter and the color-flavor-locked (CFL) phase exhibiting color superconductivity. Recently, it was proposed that this conjecture could be generalized in the presence of superfluid vortices penetrating both phases (arXiv:1803.05115 [hep-ph]), and it was suggested that one hadronic superfluid vortex in hyperon matter could be connected to one non-Abelian vortex (color magnetic flux tube) in the CFL phase. Here, we argue that their proposal is consistent only at large distances; instead, we show that three hadronic superfluid vortices must combine with three non-Abelian vortices with different colors with the total color magnetic fluxes canceled out, where the junction is called a colorful boojum. We rigorously prove this in both a macroscopic theory based on the Ginzburg-Landau description in which symmetry and excitations match (including vortex cores), and a microscopic theory in which the Aharonov-Bohm phases of quarks around vortices match.

8 pages, 1 figure. The content of Sec. III revised with the conclusion unchanged. References added

References in corpus (10)

• Color superconductivity in dense quark matter
• Superfluidity in nuclear systems and neutron stars
• 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
• Fermion structure of non-Abelian vortices in high density QCD
• Confined Monopoles Induced by Quantum Effects in Dense QCD
• Confined Magnetic Monopoles in Dense QCD
• Non-Abelian statistics of vortices with multiple Majorana fermions
• Anisotropic Optical Response of Dense Quark Matter under Rotation: Compact Stars as Cosmic Polarizers

Cited by in corpus (28)

• Quark-hadron continuity beyond Ginzburg-Landau paradigm
• Anyonic particle-vortex statistics and the nature of dense quark matter
• Higgs-confinement phase transitions with fundamental representation matter
• Relations among topological solitons
• 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
• Phase structure of neutron ${}^3{P}_2$ superfluids in strong magnetic fields in neutron stars
• Effective gauge theories of superfluidity with topological order
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Non-Abelian Alice strings in two-flavor dense QCD
• Domain walls in neutron ${}^3{P}_2$ superfluids in neutron stars
• 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
• Topological defects at the boundary of neutron ${}^3{P}_2$ superfluids in neutron stars
• Aharonov-Bohm defects
• Higgs-confinement continuity and matching of Aharonov-Bohm phases
• Alice meets Boojums in neutron stars: vortices penetrating two-flavor quark-hadron continuity
• Dynamics of global and local vortices with orientational moduli
• Anatomy of the dense QCD matter from canonical sectors
• Berry Curvature and Spin-One Color Superconductivity
• Confinement and moduli locking of Alice strings and monopoles
• Some comments about emission channels of non abelian vortices
• Chiral non-Abelian vortex molecules in dense QCD
• Analyzing the Higgs-confinement transition with non-local operators on the lattice
• Classification of Magnetic Vortices by Angular Momentum Conservation
• Multicomponent Superfluids and Superconductors in Dense Nuclear and Quark Matter
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory