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Hauptverfasser: Brihaye, Y., Buisseret, F.
Format: Preprint
Veröffentlicht: 2024
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Online-Zugang:https://arxiv.org/abs/2402.15396
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author Brihaye, Y.
Buisseret, F.
author_facet Brihaye, Y.
Buisseret, F.
contents We construct Q-ball solutions from a model consisting of one massive scalar field $ξ$ and one massive complex scalar field $ϕ$ interacting via the cubic couplings $g_1 ξϕ^{*} ϕ+ g_2 ξ^3$, typical of Henon-Heiles-like potentials. Although being formally simple, these couplings allow for Q-balls. In one spatial dimension, analytical solutions exist, either with vanishing or non vanishing $ϕ$. In three spatial dimensions, we numerically build Q-ball solutions and investigate their behaviours when changing the relatives values of $g_1$ and $g_2$. For $g_1<g_2$, two Q-balls with the same frequency exist, while $ω=0$ can be reached when $g_1>g_2$. We then extend the former solutions by gauging the U(1)-symmetry of $ϕ$ and show that charged Q-balls exist.
format Preprint
id arxiv_https___arxiv_org_abs_2402_15396
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Q-balls and charged Q-balls in a two-scalar field theory with generalized Henon-Heiles potential
Brihaye, Y.
Buisseret, F.
High Energy Physics - Theory
Pattern Formation and Solitons
We construct Q-ball solutions from a model consisting of one massive scalar field $ξ$ and one massive complex scalar field $ϕ$ interacting via the cubic couplings $g_1 ξϕ^{*} ϕ+ g_2 ξ^3$, typical of Henon-Heiles-like potentials. Although being formally simple, these couplings allow for Q-balls. In one spatial dimension, analytical solutions exist, either with vanishing or non vanishing $ϕ$. In three spatial dimensions, we numerically build Q-ball solutions and investigate their behaviours when changing the relatives values of $g_1$ and $g_2$. For $g_1<g_2$, two Q-balls with the same frequency exist, while $ω=0$ can be reached when $g_1>g_2$. We then extend the former solutions by gauging the U(1)-symmetry of $ϕ$ and show that charged Q-balls exist.
title Q-balls and charged Q-balls in a two-scalar field theory with generalized Henon-Heiles potential
topic High Energy Physics - Theory
Pattern Formation and Solitons
url https://arxiv.org/abs/2402.15396