### Abstract

We study topologically stable non-Abelian global vortices in the U (N) linear sigma model. The profile functions of the solutions are numerically obtained. We investigate the behavior of vortices in two limits in which masses of traceless or trace parts of massive bosons are much larger than the others. In the limit that the traceless parts are much heavier, we find a somewhat bizarre vortex solution which can be identified with Abelian vortex with a non-integer U (1) winding number 1 / sqrt(N) which is irrational in general.

Original language | English |
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Pages (from-to) | 129-150 |

Number of pages | 22 |

Journal | Nuclear Physics B |

Volume | 821 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 2009 Nov 1 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*821*(1-2), 129-150. https://doi.org/10.1016/j.nuclphysb.2009.06.013

**Non-Abelian global vortices.** / Eto, Minoru; Nakano, Eiji; Nitta, Muneto.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 821, no. 1-2, pp. 129-150. https://doi.org/10.1016/j.nuclphysb.2009.06.013

}

TY - JOUR

T1 - Non-Abelian global vortices

AU - Eto, Minoru

AU - Nakano, Eiji

AU - Nitta, Muneto

PY - 2009/11/1

Y1 - 2009/11/1

N2 - We study topologically stable non-Abelian global vortices in the U (N) linear sigma model. The profile functions of the solutions are numerically obtained. We investigate the behavior of vortices in two limits in which masses of traceless or trace parts of massive bosons are much larger than the others. In the limit that the traceless parts are much heavier, we find a somewhat bizarre vortex solution which can be identified with Abelian vortex with a non-integer U (1) winding number 1 / sqrt(N) which is irrational in general.

AB - We study topologically stable non-Abelian global vortices in the U (N) linear sigma model. The profile functions of the solutions are numerically obtained. We investigate the behavior of vortices in two limits in which masses of traceless or trace parts of massive bosons are much larger than the others. In the limit that the traceless parts are much heavier, we find a somewhat bizarre vortex solution which can be identified with Abelian vortex with a non-integer U (1) winding number 1 / sqrt(N) which is irrational in general.

UR - http://www.scopus.com/inward/record.url?scp=68049113381&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=68049113381&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2009.06.013

DO - 10.1016/j.nuclphysb.2009.06.013

M3 - Article

AN - SCOPUS:68049113381

VL - 821

SP - 129

EP - 150

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -