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

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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 languageEnglish
Article number125016
JournalPhysical Review D
Volume100
Issue number12
DOIs
Publication statusPublished - 2019 Dec 18

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color
vortices
scalars
symmetry
integers
gauge theory

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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Topological order in the color-flavor locked phase of a (3+1)-dimensional U (N) gauge-Higgs system. / Hidaka, Yoshimasa; Hirono, Yuji; Nitta, Muneto; Tanizaki, Yuya; Yokokura, Ryo.

In: Physical Review D, Vol. 100, No. 12, 125016, 18.12.2019.

Research output: Contribution to journalArticle

Hidaka, Yoshimasa ; Hirono, Yuji ; Nitta, Muneto ; Tanizaki, Yuya ; Yokokura, Ryo. / Topological order in the color-flavor locked phase of a (3+1)-dimensional U (N) gauge-Higgs system. In: Physical Review D. 2019 ; Vol. 100, No. 12.
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