Topological order in the color-flavor locked phase of a (3+1)-dimensional U (N) gauge-Higgs system

Yoshimasa Hidaka; Yuji Hirono; Muneto Nitta; Yuya Tanizaki; Ryo Yokokura

doi:10.1103/PhysRevD.100.125016

Topological order in the color-flavor locked phase of a (3+1)-dimensional U (N) gauge-Higgs system

Yoshimasa Hidaka, Yuji Hirono, Muneto Nitta, Yuya Tanizaki, Ryo Yokokura

Faculty of Business and Commerce

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14 Citations (Scopus)

Abstract

We study a (3+1)-dimensional U(N) gauge theory with N-flavor fundamental scalar fields, whose color-flavor locked (CFL) phase has topologically stable non-Abelian vortices. The U(1) charge of the scalar fields must be Nk+1 for some integer k in order for them to be in the representation of U(N) gauge group. This theory has a ZNk+1 one-form symmetry, and it is spontaneously broken in the CFL phase, i.e., the CFL phase is topologically ordered if k≠0. We also find that the world sheet of topologically stable vortices in CFL phase can generate this one-form symmetry.

Original language	English
Article number	125016
Journal	Physical Review D
Volume	100
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.100.125016
Publication status	Published - 2019 Dec 18

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.100.125016

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title = "Topological order in the color-flavor locked phase of a (3+1)-dimensional U (N) gauge-Higgs system",

abstract = "We study a (3+1)-dimensional U(N) gauge theory with N-flavor fundamental scalar fields, whose color-flavor locked (CFL) phase has topologically stable non-Abelian vortices. The U(1) charge of the scalar fields must be Nk+1 for some integer k in order for them to be in the representation of U(N) gauge group. This theory has a ZNk+1 one-form symmetry, and it is spontaneously broken in the CFL phase, i.e., the CFL phase is topologically ordered if k≠0. We also find that the world sheet of topologically stable vortices in CFL phase can generate this one-form symmetry.",

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AU - Hidaka, Yoshimasa

AU - Hirono, Yuji

AU - Nitta, Muneto

AU - Tanizaki, Yuya

AU - Yokokura, Ryo

N1 - Publisher Copyright: © 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/" Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP.

PY - 2019/12/18

Y1 - 2019/12/18

N2 - We study a (3+1)-dimensional U(N) gauge theory with N-flavor fundamental scalar fields, whose color-flavor locked (CFL) phase has topologically stable non-Abelian vortices. The U(1) charge of the scalar fields must be Nk+1 for some integer k in order for them to be in the representation of U(N) gauge group. This theory has a ZNk+1 one-form symmetry, and it is spontaneously broken in the CFL phase, i.e., the CFL phase is topologically ordered if k≠0. We also find that the world sheet of topologically stable vortices in CFL phase can generate this one-form symmetry.

AB - We study a (3+1)-dimensional U(N) gauge theory with N-flavor fundamental scalar fields, whose color-flavor locked (CFL) phase has topologically stable non-Abelian vortices. The U(1) charge of the scalar fields must be Nk+1 for some integer k in order for them to be in the representation of U(N) gauge group. This theory has a ZNk+1 one-form symmetry, and it is spontaneously broken in the CFL phase, i.e., the CFL phase is topologically ordered if k≠0. We also find that the world sheet of topologically stable vortices in CFL phase can generate this one-form symmetry.

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Topological order in the color-flavor locked phase of a (3+1)-dimensional U (N) gauge-Higgs system

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