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Scalar field theories with particular U(1)-symmetric potentials contain non-topological soliton solutions called Q-balls. Promoting the U(1) to a gauge symmetry leads to the more complicated situation of gauged Q-balls. The soliton…

High Energy Physics - Theory · Physics 2023-06-14 Julian Heeck , Arvind Rajaraman , Rebecca Riley , Christopher B. Verhaaren

Abelian non-topological solitons with Baryon and/or Lepton quantum numbers naturally appear in the spectrum of the minimal supersymmetric standard model. They arise as a consequence of the existence of flat directions in the potential…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Axenides , E. G. Floratos , G. K. Leontaris , N. D. Tracas

We study long-term evolution of radiating quasi-Q-balls in 1+1 dimensional models without mass threshold. Two different models are considered, the model with a rational modification of the usual Q-ball sextic potential and the model of a…

High Energy Physics - Theory · Physics 2025-03-12 Tomasz Romanczukiewicz , Yakov Shnir

We extend calculational techniques for static solitons to the case of field configurations with simple time dependence in order to consider quantum effects on the stability of Q-balls. These nontopological solitons exist classically for any…

High Energy Physics - Theory · Physics 2009-11-07 N. Graham

We consider gauged Q-balls in the gravity-mediation-type model in the Affleck-Dine mechanism, which is described by the potential $V_{\rm grav.}(\phi):=(m_{\rm grav.}^2/2)\phi^2\left[1+K\ln(\phi/M)^2\right]$ with $K<0$. In many models of…

High Energy Physics - Theory · Physics 2014-01-09 Takashi Tamaki , Nobuyuki Sakai

It was recently discovered that waves scattering off a $Q$-ball can extract energy from it. We present an analytical treatment of this process by adopting a multi-step function approximation for the background field, which yields…

High Energy Physics - Theory · Physics 2025-11-03 Guo-Dong Zhang , Shuang-Yong Zhou , Meng-Fan Zhu

We show that many numerically established properties of Q-balls can be understood in terms of analytic approximations for a certain type of potential. In particular, we derive an explicit formula between the energy and the charge of the…

High Energy Physics - Theory · Physics 2009-11-10 T. A. Ioannidou , V. B. Kopeliovich , N. D. Vlachos

We provide a review of non-topological solitonic solutions arising in theories with a complex scalar field and global or gauge $U(1)$-symmetry. It covers Q-balls, homogeneous charged scalar condensates, and nonlinear localized holes and…

High Energy Physics - Theory · Physics 2020-04-22 Emin Nugaev , Andrey Shkerin

Q-balls are generically present in models with softly broken low-energy supersymmetry. We discuss the properties of these non-topological solitons, which can precipitate a new kind of first-order phase transition in the early Universe and…

High Energy Physics - Phenomenology · Physics 2009-10-30 Alexander Kusenko

Sydney Coleman's Q-ball remains a compelling instance of localised object formation within classical field theory, independently of the quantum evolution. The theoretical possibility of such objects forming and colliding in the early…

High Energy Physics - Phenomenology · Physics 2024-12-11 Deog Ki Hong , Stephen J. Lonsdale

Collisions of non-topological solitons, Q-balls, are studied in a typical potential in the Minimal Supersymmetric Standard Model where supersymmetry has been broken by a gravitationally coupled hidden sector. Q-ball collisions are studied…

High Energy Physics - Phenomenology · Physics 2009-10-31 Tuomas Multamaki , Iiro Vilja

We demonstrate the existence of non-abelian non-topological solitons such as Q-balls in the spectrum of Wess-Zumino models with non-abelian global symmetries. We conveniently name them Q-superballs and identify them for short as Q-sballs.…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Axenides , E. Floratos , A. Kehagias

In supersymmetric generalizations of the Standard Model, all stable Q-balls are associated with some flat directions. We show that, if the flat direction has both the baryon number and the lepton number, the scalar field inside the Q-ball…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ian M. Shoemaker , Alexander Kusenko

We consider axially symmetric, rotating boson stars. Their flat space limits represent spinning Q-balls. We discuss their properties and determine their domain of existence. Q-balls and boson stars are stationary solutions and exist only in…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Burkhard Kleihaus , Jutta Kunz , Meike List

Excited Q-balls are studied by numerical simulations in the Minimal Supersymmetric Standard Model with supersymmetry broken by a gravity mediated mechanism. It is found that there is a suppression factor of $\cO(10^{-2})$ in the rate at…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tuomas Multamaki

We explore stability of gravitating Q-balls with potential $V_4(\phi)={m^2\over2}\phi^2-\lambda\phi^4+\frac{\phi^6}{M^2}$ via catastrophe theory, as an extension of our previous work on Q-balls with potential…

General Relativity and Quantum Cosmology · Physics 2011-05-18 Takashi Tamaki , Nobuyuki Sakai

We study Q-ball formation in the expanding universe on 1D, 2D and 3D lattice simulations. We obtain detailed Q-ball charge distributions, and find that the distribution is peaked at Q^{3D}_{peak} \simeq 1.9\times 10^{-2} (|\Phi_{in}|/m)^2,…

High Energy Physics - Phenomenology · Physics 2014-11-20 Takashi Hiramatsu , Masahiro Kawasaki , Fuminobu Takahashi

The mathematical model of a real flexible elastic system with distributed and discrete parameters is considered. It is a partial differential equation with non-classical boundary conditions. Complexity of the boundary conditions results in…

Analysis of PDEs · Mathematics 2007-05-23 Olena V. Mul , Delfim F. M. Torres

We investigate the presence of non-topological solutions of the Q-ball type in (1, 1) spacetime dimensions. The model engenders the global U(1) symmetry and is of the k-field type, since it contains a new term, of the fourth-order power in…

High Energy Physics - Theory · Physics 2017-02-01 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

We study $Q$-ball type solitons in arbitrary spatial dimensions in the setting recently described by Kusenko, where the scalar field potential has a flat direction which rises much slower than $\phi^2$. We find that the general formula for…

High Energy Physics - Theory · Physics 2010-02-03 R. B. MacKenzie , M. B. Paranjape