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In this thesis we investigate the stationary properties and formation process of a class of nontopological solitons, namely Q-balls. We explore both the quantum-mechanical and classical stability of Q-balls that appear in polynomial,…

High Energy Physics - Theory · Physics 2009-10-23 Mitsuo I. Tsumagari

A self-interacting SU(2)-doublet of complex scalar fields, minimally coupled to Einstein-Gauss-Bonnet gravity is considered in five space-time dimensions. The classical equations admit two families of solitons corresponding to spinning and…

General Relativity and Quantum Cosmology · Physics 2014-06-11 Yves Brihaye , Jürgen Riedel

This paper concerns hylomorphic solitons, namely stable, solitary waves whose existence is related to the ratio energy/charge. In theoretical physics, the name Q-ball refers to a type of hylomorphic solitons or soli- tary waves relative to…

Mathematical Physics · Physics 2016-11-25 Vieri Benci , Donato Fortunato

We construct rotating boson stars in (4+1)-dimensional asymptotically Anti-de Sitter space-time (aAdS) with two equal angular momenta that are composed out of a massive and self-interacting scalar field. These solutions possess a single…

General Relativity and Quantum Cosmology · Physics 2015-09-02 Yves Brihaye , Betti Hartmann , Jürgen Riedel

Scalars carrying a conserved global charge $Q$ can form stable localized field configurations composed of a large number of particles. These non-topological solitons are spherically symmetric and are called Q-balls. While usually analyzed…

High Energy Physics - Phenomenology · Physics 2026-04-03 Dusty Aiello , Julian Heeck

In this work we deal with non-topological solutions of the Q-ball type in two space-time dimensions, in models described by a single complex scalar field that engenders global symmetry. The main novelty is the presence of stable Q-balls…

High Energy Physics - Theory · Physics 2016-05-24 D. Bazeia , L. Losano , M. A. Marques , R. Menezes , R. da Rocha

We construct and explore the solution space of two non-spinning, mini-boson stars in equilibrium, in fully non-linear General Relativity (GR), minimally coupled to a free, massive, complex scalar field. The equilibrium is due to the balance…

General Relativity and Quantum Cosmology · Physics 2023-01-11 P. Cunha , C. Herdeiro , E. Radu , Ya. Shnir

We show that non-topological solitons, known as Q-balls, are promising candidates for self-interacting dark matter. They can satisfy the cross-section requirements for a broad range of masses. Unlike previously considered examples, Q-balls…

Astrophysics · Physics 2009-09-15 Alexander Kusenko , Paul J. Steinhardt

Cold atoms bring new opportunities to study quantum magnetism, and in particular, to simulate quantum magnets with symmetry greater than $SU(2)$. Here we explore the topological excitations which arise in a model of cold atoms on the…

Strongly Correlated Electrons · Physics 2016-03-29 Hiroaki T. Ueda , Yutaka Akagi , Nic Shannon

In previous work we analyzed the linear stability of non-relativistic $\ell$-boson stars with respect to radial modes and showed that ground state configurations are stable with respect to these modes, whereas excited states are unstable.…

General Relativity and Quantum Cosmology · Physics 2024-10-30 Emmanuel Chávez Nambo , Armando A. Roque , Olivier Sarbach

Q-balls are non-topological solitonic solutions to a wide class of field theories that possess global symmetries. Here we show that in these same theories there also exists a tower of novel composite Q-ball solutions where, within one…

High Energy Physics - Theory · Physics 2016-05-18 Edmund J. Copeland , Paul M. Saffin , Shuang-Yong Zhou

Rotating fermion-boson stars are hypothetical celestial objects that consist of both fermionic and bosonic matter interacting exclusively through gravity. Bosonic fields are believed to arise in certain models of particle physics describing…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Jorge Castelo Mourelle , Christoph Adam , Juan Calderón Bustillo , Nicolas Sanchis-Gual

Based on the spectral decomposition technique, we introduce a simple and universal numerical method to analyze the stability of solitons. Adopting this method, the linear dynamical properties of $Q$-balls are systematically revealed, from…

High Energy Physics - Theory · Physics 2025-09-24 Qian Chen , Lars Andersson , Li Li

Boson stars are hypothetical compact objects derived from solutions of a self-gravitating complex scalar field. In this study, we extend the traditional models by generalizing the kinetic term of the scalar field to that of a nonlinear…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Christoph Adam , Jorge Castelo Mourelle , Alberto García Martín-Caro , Andrzej Wereszczynski

We study q-stars with various symmetries in anti de Sitter spacetime in 3+1 dimensions. Comparing with the case of flat spacetime, we find that the value of the field at the center of the soliton is larger when the other parameters show a…

High Energy Physics - Theory · Physics 2009-11-10 Athanasios Prikas

We study the linear stability of nonrelativistic $\ell$-boson stars, describing static, spherically symmetric configurations of the Schr\"odinger-Poisson system with multiple wave functions having the same value of the angular momentum…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Armando A. Roque , Emmanuel Chávez Nambo , Olivier Sarbach

We construct spherically symmetric boson star solutions in $D \in \{4,5,6\}$ spacetime dimensions, considering the effects of both a quartic self-interaction term and a solitonic potential. We then perform a perturbative analysis,…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Gareth Arturo Marks , Abdullah Al Zaif

We study the behavior of a Bose-Einstein condensate in which atoms are weakly coupled to a highly excited Rydberg state. Since the latter have very strong van der Waals interactions, this coupling induces effective, nonlocal interactions…

Atomic Physics · Physics 2010-05-12 N. Henkel , R. Nath , T. Pohl

In relativistic quantum field theories, compact objects of interacting bosons can become stable owing to conservation of an additive quantum number $Q$. Discovering such $Q$-balls propagating in the Universe would confirm supersymmetric…

Other Condensed Matter · Physics 2018-01-31 S. Autti , P. J. Heikkinen , G. E. Volovik , V. V. Zavjalov , V. B. Eltsov

We study formation of rotating three-dimensional high-order solitons (azimuthons) in Bose Einstein condensate with attractive nonlocal nonlinear interaction. In particular, we demonstrate formation of toroidal rotating solitons and…

Quantum Gases · Physics 2011-07-11 F. Maucher , S. Skupin , M. Sheng , W. Krolikowski
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