### Abstract

In the present paper, we consider a (1 + 1) -dimensional gauge model consisting of two complex scalar fields interacting with each other through an Abelian gauge field. When the model’s gauge coupling constants are set to zero, the model possesses non-gauged Q-ball and kink solutions that do not interact with each other. It is shown here that for nonzero gauge coupling constants, the model has a soliton solution describing the system that consists of interacting Q-ball and kink components. These two components of the kink-Q-ball system have opposite electric charges, meaning that the total electric charge of the system vanishes. The properties of the kink-Q-ball system are studied both analytically and numerically. In particular, it was found that the system possesses a nonzero electric field and is unstable with respect to small perturbations in the fields.

Original language | English |
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Article number | 780 |

Journal | European Physical Journal C |

Volume | 79 |

Issue number | 9 |

DOIs | |

Publication status | Published - 1 Sep 2019 |

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### ASJC Scopus subject areas

- Engineering (miscellaneous)
- Physics and Astronomy (miscellaneous)

### Cite this

*European Physical Journal C*,

*79*(9), [780]. https://doi.org/10.1140/epjc/s10052-019-7302-6

**One-dimensional soliton system of gauged kink and Q-ball.** / Loginov, A. Yu; Gauzshtein, V. V.

Research output: Contribution to journal › Article

*European Physical Journal C*, vol. 79, no. 9, 780. https://doi.org/10.1140/epjc/s10052-019-7302-6

}

TY - JOUR

T1 - One-dimensional soliton system of gauged kink and Q-ball

AU - Loginov, A. Yu

AU - Gauzshtein, V. V.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - In the present paper, we consider a (1 + 1) -dimensional gauge model consisting of two complex scalar fields interacting with each other through an Abelian gauge field. When the model’s gauge coupling constants are set to zero, the model possesses non-gauged Q-ball and kink solutions that do not interact with each other. It is shown here that for nonzero gauge coupling constants, the model has a soliton solution describing the system that consists of interacting Q-ball and kink components. These two components of the kink-Q-ball system have opposite electric charges, meaning that the total electric charge of the system vanishes. The properties of the kink-Q-ball system are studied both analytically and numerically. In particular, it was found that the system possesses a nonzero electric field and is unstable with respect to small perturbations in the fields.

AB - In the present paper, we consider a (1 + 1) -dimensional gauge model consisting of two complex scalar fields interacting with each other through an Abelian gauge field. When the model’s gauge coupling constants are set to zero, the model possesses non-gauged Q-ball and kink solutions that do not interact with each other. It is shown here that for nonzero gauge coupling constants, the model has a soliton solution describing the system that consists of interacting Q-ball and kink components. These two components of the kink-Q-ball system have opposite electric charges, meaning that the total electric charge of the system vanishes. The properties of the kink-Q-ball system are studied both analytically and numerically. In particular, it was found that the system possesses a nonzero electric field and is unstable with respect to small perturbations in the fields.

UR - http://www.scopus.com/inward/record.url?scp=85073204710&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85073204710&partnerID=8YFLogxK

U2 - 10.1140/epjc/s10052-019-7302-6

DO - 10.1140/epjc/s10052-019-7302-6

M3 - Article

AN - SCOPUS:85073204710

VL - 79

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 9

M1 - 780

ER -