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

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

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 N k + 1 for some integer k in order for them to be in the representatio...

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Veröffentlicht in:Physical review. D 2019-12, Vol.100 (12), p.1, Article 125016
Hauptverfasser: Hidaka, Yoshimasa, Hirono, Yuji, Nitta, Muneto, Tanizaki, Yuya, Yokokura, Ryo
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Color
Flavor (particle physics)
Gauge theory
Scalars
Symmetry
Vortices
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container_issue 12
container_start_page 1
container_title Physical review. D
container_volume 100
creator Hidaka, Yoshimasa
Hirono, Yuji
Nitta, Muneto
Tanizaki, Yuya
Yokokura, Ryo
description 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 N k + 1 for some integer k in order for them to be in the representation of U ( N ) gauge group. This theory has a ZN k + 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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subjects Color
Flavor (particle physics)
Gauge theory
Scalars
Symmetry
Vortices
title Topological order in the color-flavor locked phase of a ( 3 + 1 )-dimensional U ( N ) gauge-Higgs system
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