Non-Abelian global vortices

Minoru Eto; Eiji Nakano; Muneto Nitta

doi:10.1016/j.nuclphysb.2009.06.013

Non-Abelian global vortices

Minoru Eto, Eiji Nakano, Muneto Nitta

Faculty of Business and Commerce

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

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
Pages (from-to)	129-150
Number of pages	22
Journal	Nuclear Physics B
Volume	821
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2009.06.013
Publication status	Published - 2009 Nov 1

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2009.06.013

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title = "Non-Abelian global vortices",

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.",

author = "Minoru Eto and Eiji Nakano and Muneto Nitta",

note = "Funding Information: This work is supported in part by Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology, Japan, No. 20740141 (M.N.). The work is also supported by the Research Fellowships of the Japan Society for the Promotion of Science for Research Abroad (M.E). E.N. gratefully acknowledges financial support from the Frankfurt Institute for Advanced Studies. ",

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AU - Eto, Minoru

AU - Nakano, Eiji

AU - Nitta, Muneto

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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.

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Non-Abelian global vortices

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