### Abstract

The (1+1)-dimensional gauge model of two complex self-interacting scalar fields that interact with each other through an Abelian gauge field and a quartic scalar interaction is considered. It is shown that the model has nontopological soliton solutions describing soliton systems consisting of two Q-ball components possessing opposite electric charges. The two Q-ball components interact with each other through the Abelian gauge field and the quartic scalar interaction. The interplay between the attractive electromagnetic interaction and the repulsive quartic interaction leads to the existence of symmetric and nonsymmetric soliton systems. Properties of these systems are investigated by analytical and numerical methods. The symmetric soliton system exists in the whole allowable interval of the phase frequency, whereas the nonsymmetric soliton system exists only in some interior subinterval. Despite the fact that these soliton systems are electrically neutral, they nevertheless possess nonzero electric fields in their interiors. It is found that the nonsymmetric soliton system is more preferable from the viewpoint of energy than the symmetric one. Both symmetric and nonsymmetric soliton systems are stable against decay into massive scalar bosons.

Original language | English |
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Article number | 065011 |

Journal | Physical Review D |

Volume | 99 |

Issue number | 6 |

DOIs | |

Publication status | Published - 15 Mar 2019 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

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

Research output: Contribution to journal › Article

*Physical Review D*, vol. 99, no. 6, 065011. https://doi.org/10.1103/PhysRevD.99.065011

}

TY - JOUR

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

AU - Loginov, A. Y.

AU - Gauzshtein, V. V.

PY - 2019/3/15

Y1 - 2019/3/15

N2 - The (1+1)-dimensional gauge model of two complex self-interacting scalar fields that interact with each other through an Abelian gauge field and a quartic scalar interaction is considered. It is shown that the model has nontopological soliton solutions describing soliton systems consisting of two Q-ball components possessing opposite electric charges. The two Q-ball components interact with each other through the Abelian gauge field and the quartic scalar interaction. The interplay between the attractive electromagnetic interaction and the repulsive quartic interaction leads to the existence of symmetric and nonsymmetric soliton systems. Properties of these systems are investigated by analytical and numerical methods. The symmetric soliton system exists in the whole allowable interval of the phase frequency, whereas the nonsymmetric soliton system exists only in some interior subinterval. Despite the fact that these soliton systems are electrically neutral, they nevertheless possess nonzero electric fields in their interiors. It is found that the nonsymmetric soliton system is more preferable from the viewpoint of energy than the symmetric one. Both symmetric and nonsymmetric soliton systems are stable against decay into massive scalar bosons.

AB - The (1+1)-dimensional gauge model of two complex self-interacting scalar fields that interact with each other through an Abelian gauge field and a quartic scalar interaction is considered. It is shown that the model has nontopological soliton solutions describing soliton systems consisting of two Q-ball components possessing opposite electric charges. The two Q-ball components interact with each other through the Abelian gauge field and the quartic scalar interaction. The interplay between the attractive electromagnetic interaction and the repulsive quartic interaction leads to the existence of symmetric and nonsymmetric soliton systems. Properties of these systems are investigated by analytical and numerical methods. The symmetric soliton system exists in the whole allowable interval of the phase frequency, whereas the nonsymmetric soliton system exists only in some interior subinterval. Despite the fact that these soliton systems are electrically neutral, they nevertheless possess nonzero electric fields in their interiors. It is found that the nonsymmetric soliton system is more preferable from the viewpoint of energy than the symmetric one. Both symmetric and nonsymmetric soliton systems are stable against decay into massive scalar bosons.

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U2 - 10.1103/PhysRevD.99.065011

DO - 10.1103/PhysRevD.99.065011

M3 - Article

AN - SCOPUS:85064038462

VL - 99

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 6

M1 - 065011

ER -