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

Autor: Alonso-Izquierdo, A., Martinez, D. Canillas, Sanchez, C. Garzon, Leon, M. A. Gonzalez, Wereszczynski, A.
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 24 pages, 42 figures
Databáze: arXiv