Stability and decay of composite kinks/$Q$-balls solutions in a deformed $O(2N+1)$ linear sigma model

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Autori principali: Alonso-Izquierdo, A., Martinez, D. Canillas, Sanchez, C. Garzon, Leon, M. A. Gonzalez, Wereszczynski, A.
Natura: Preprint
Pubblicazione: 2024
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author Alonso-Izquierdo, A.
Martinez, D. Canillas
Sanchez, C. Garzon
Leon, M. A. Gonzalez
Wereszczynski, A.
author_facet Alonso-Izquierdo, A.
Martinez, D. Canillas
Sanchez, C. Garzon
Leon, M. A. Gonzalez
Wereszczynski, A.
contents The defect-type solutions of a deformed $O(2N+1)$ linear sigma model with a real and $N$ complex fields in $(1+1)$-dimensional Minkowski spacetime are studied. All the solutions are analytically found for the $N=2$ case. Two types of solitons have been determined: (a) Simple solutions formed by a topological kink with or without the presence of a $Q$-ball. (b) Composite solutions. They are constituted by some one-parameter families of solutions which can be understood as a non-linear combination of simple solutions. The properties of all of those solutions and the analysis of their linear stability, as well as decay channels, are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2407_13225
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Stability and decay of composite kinks/$Q$-balls solutions in a deformed $O(2N+1)$ linear sigma model
Alonso-Izquierdo, A.
Martinez, D. Canillas
Sanchez, C. Garzon
Leon, M. A. Gonzalez
Wereszczynski, A.
High Energy Physics - Theory
Mathematical Physics
The defect-type solutions of a deformed $O(2N+1)$ linear sigma model with a real and $N$ complex fields in $(1+1)$-dimensional Minkowski spacetime are studied. All the solutions are analytically found for the $N=2$ case. Two types of solitons have been determined: (a) Simple solutions formed by a topological kink with or without the presence of a $Q$-ball. (b) Composite solutions. They are constituted by some one-parameter families of solutions which can be understood as a non-linear combination of simple solutions. The properties of all of those solutions and the analysis of their linear stability, as well as decay channels, are discussed.
title Stability and decay of composite kinks/$Q$-balls solutions in a deformed $O(2N+1)$ linear sigma model
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2407.13225