### 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-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 equation (rather than the Ginzburg-Landau equation). We obtain quark spectra from the Bogoliubov-de Gennes 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-U(1)c+L+R. The velocities vi of the massless modes (i=t, s for triplet and singlet) change at finite chemical potential μ 0, and decrease as μ becomes large. Therefore, low energy excitations in the vicinity of the vortices are effectively described by 1+1 dimensional massless fermions whose velocities are reduced vi<1.

Original language | English |
---|---|

Article number | 105003 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 81 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2010 May 4 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*81*(10), [105003]. https://doi.org/10.1103/PhysRevD.81.105003

**Fermion structure of non-Abelian vortices in high density QCD.** / Yasui, Shigehiro; Itakura, Kazunori; Nitta, Muneto.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 81, no. 10, 105003. https://doi.org/10.1103/PhysRevD.81.105003

}

TY - JOUR

T1 - Fermion structure of non-Abelian vortices in high density QCD

AU - Yasui, Shigehiro

AU - Itakura, Kazunori

AU - Nitta, Muneto

PY - 2010/5/4

Y1 - 2010/5/4

N2 - 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-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 equation (rather than the Ginzburg-Landau equation). We obtain quark spectra from the Bogoliubov-de Gennes 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-U(1)c+L+R. The velocities vi of the massless modes (i=t, s for triplet and singlet) change at finite chemical potential μ 0, and decrease as μ becomes large. Therefore, low energy excitations in the vicinity of the vortices are effectively described by 1+1 dimensional massless fermions whose velocities are reduced vi<1.

AB - 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-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 equation (rather than the Ginzburg-Landau equation). We obtain quark spectra from the Bogoliubov-de Gennes 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-U(1)c+L+R. The velocities vi of the massless modes (i=t, s for triplet and singlet) change at finite chemical potential μ 0, and decrease as μ becomes large. Therefore, low energy excitations in the vicinity of the vortices are effectively described by 1+1 dimensional massless fermions whose velocities are reduced vi<1.

UR - http://www.scopus.com/inward/record.url?scp=77954295726&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954295726&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.81.105003

DO - 10.1103/PhysRevD.81.105003

M3 - Article

AN - SCOPUS:77954295726

VL - 81

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

M1 - 105003

ER -