### Abstract

The (2 + 1)-dimensional Skyrme gauge model with a Chern–Simons term is considered. The presence of the Chern–Simons term leads to the result that the Abelian gauge field of the model becomes massive. This, in turn, leads to the existence in the given model of two-dimensional skyrmions carrying magnetic flux and possessing an electric charge and, consequently, nonzero angular momentum. It is shown that the model also admits the existence of two-dimensional skyrmions, whose electrically charged fields rotate with a constant phase frequency. Due to the nontrivial topology of the configurations of the (2 + 1)-dimensional Skyrme gauge model with a Chern–Simons term, the magnetic flux, the electric charge, and the angular momentum of a rotating two-dimensional skyrmion turn out to be interrelated.

Original language | English |
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Journal | Russian Physics Journal |

DOIs | |

Publication status | Accepted/In press - 21 Apr 2015 |

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### Keywords

- Chern–Simons term
- Derrick’s theorem
- nonlinear model
- topological solitons
- two-dimensional skyrmions

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Electrically Charged Two-Dimensional Skyrmions.** / Loginov, A. Y.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Electrically Charged Two-Dimensional Skyrmions

AU - Loginov, A. Y.

PY - 2015/4/21

Y1 - 2015/4/21

N2 - The (2 + 1)-dimensional Skyrme gauge model with a Chern–Simons term is considered. The presence of the Chern–Simons term leads to the result that the Abelian gauge field of the model becomes massive. This, in turn, leads to the existence in the given model of two-dimensional skyrmions carrying magnetic flux and possessing an electric charge and, consequently, nonzero angular momentum. It is shown that the model also admits the existence of two-dimensional skyrmions, whose electrically charged fields rotate with a constant phase frequency. Due to the nontrivial topology of the configurations of the (2 + 1)-dimensional Skyrme gauge model with a Chern–Simons term, the magnetic flux, the electric charge, and the angular momentum of a rotating two-dimensional skyrmion turn out to be interrelated.

AB - The (2 + 1)-dimensional Skyrme gauge model with a Chern–Simons term is considered. The presence of the Chern–Simons term leads to the result that the Abelian gauge field of the model becomes massive. This, in turn, leads to the existence in the given model of two-dimensional skyrmions carrying magnetic flux and possessing an electric charge and, consequently, nonzero angular momentum. It is shown that the model also admits the existence of two-dimensional skyrmions, whose electrically charged fields rotate with a constant phase frequency. Due to the nontrivial topology of the configurations of the (2 + 1)-dimensional Skyrme gauge model with a Chern–Simons term, the magnetic flux, the electric charge, and the angular momentum of a rotating two-dimensional skyrmion turn out to be interrelated.

KW - Chern–Simons term

KW - Derrick’s theorem

KW - nonlinear model

KW - topological solitons

KW - two-dimensional skyrmions

UR - http://www.scopus.com/inward/record.url?scp=84928155394&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84928155394&partnerID=8YFLogxK

U2 - 10.1007/s11182-015-0445-5

DO - 10.1007/s11182-015-0445-5

M3 - Article

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

ER -