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 |
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
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Hidaka, Y., Hirono, Y., Nitta, M., Tanizaki, Y., & Yokokura, R. (2019). Topological order in the color-flavor locked phase of a (3+1)-dimensional U (N) gauge-Higgs system. Physical Review D, 100(12), [125016]. https://doi.org/10.1103/PhysRevD.100.125016