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

Abstract In the present paper, we consider a $$(1 + 1)$$ (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 soluti...

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Main Authors: A. Yu. Loginov, V. V. Gauzshtein
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-7302-6
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author A. Yu. Loginov
V. V. Gauzshtein
author_facet A. Yu. Loginov
V. V. Gauzshtein
author_sort A. Yu. Loginov
collection DOAJ
description Abstract In the present paper, we consider a $$(1 + 1)$$ (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.
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spelling doaj.art-bdcccdcce8b944268d6f812987322e1e2022-12-21T18:51:33ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-09-0179911610.1140/epjc/s10052-019-7302-6One-dimensional soliton system of gauged kink and Q-ballA. Yu. Loginov0V. V. Gauzshtein1Tomsk State University of Control Systems and RadioelectronicsTomsk Polytechnic UniversityAbstract In the present paper, we consider a $$(1 + 1)$$ (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.http://link.springer.com/article/10.1140/epjc/s10052-019-7302-6
spellingShingle A. Yu. Loginov
V. V. Gauzshtein
One-dimensional soliton system of gauged kink and Q-ball
European Physical Journal C: Particles and Fields
title One-dimensional soliton system of gauged kink and Q-ball
title_full One-dimensional soliton system of gauged kink and Q-ball
title_fullStr One-dimensional soliton system of gauged kink and Q-ball
title_full_unstemmed One-dimensional soliton system of gauged kink and Q-ball
title_short One-dimensional soliton system of gauged kink and Q-ball
title_sort one dimensional soliton system of gauged kink and q ball
url http://link.springer.com/article/10.1140/epjc/s10052-019-7302-6
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AT vvgauzshtein onedimensionalsolitonsystemofgaugedkinkandqball