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 | |
| Publication status | Published - 2019 Dec 18 |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
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 journal › Article
}
TY - JOUR
T1 - Topological order in the color-flavor locked phase of a (3+1)-dimensional U (N) gauge-Higgs system
AU - Hidaka, Yoshimasa
AU - Hirono, Yuji
AU - Nitta, Muneto
AU - Tanizaki, Yuya
AU - Yokokura, Ryo
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.
UR - http://www.scopus.com/inward/record.url?scp=85077454282&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85077454282&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.100.125016
DO - 10.1103/PhysRevD.100.125016
M3 - Article
AN - SCOPUS:85077454282
VL - 100
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 12
M1 - 125016
ER -