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We consider the lagrangian of a self-interacting complex scalar field admitting generically Q-balls solutions. This model is extended by minimal coupling to electromagnetism and to gravity. A stationnary, axially-symmetric ansatz for the…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Y. Brihaye , Th. Caebergs , T. Delsate

We discuss various scattering properties of non-topological solitons, Q-balls, on potential obstructions in (1+1) and (2+1) dimensions. These obstructions, barriers and holes, are inserted into the potential of the theory via the coupling…

Mathematical Physics · Physics 2009-05-29 Jassem H. Al-Alawi , Wojtek J. Zakrzewski

Q-balls are non-topological solitons in a large family of field theories. We focus on the existence of $U(1)$ gauged Q-balls for a field theory with sixth-order potential. The problem can be reduced to proving the existence of critical…

Mathematical Physics · Physics 2023-08-15 Xiaosen Han , Guange Su

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

Usually the charge and the energy of stable Q-balls vary in a wide range or are even unbounded. In the present paper we study an interesting possibility that this range is parametrically small. In this case the spectra of stable Q-balls…

High Energy Physics - Theory · Physics 2014-07-07 E. Ya. Nugaev , M. N. Smolyakov

Q-balls are non-topological solitons whose classical stability is ensured by a global $U(1)$ charge. In particular, Q-balls are produced in the framework of the Affleck-Dine baryogenesis where $U(1)$ charge is the baryon number. Since some…

High Energy Physics - Phenomenology · Physics 2020-06-22 Masahiro Kawasaki , Hiromasa Nakatsuka

In many supersymmetric extensions of the Standard Model the spectrum of states contains stable non-topological solitons, Q-balls. If formed in the Early Universe in sufficient amounts, Q-balls now contribute to cold dark matter. We discuss…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. G. Tinyakov

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

Q-lumps are spinning planar topological solitons with stationary solutions that satisfy first-order Bogomolny equations. Q-lump scattering has previously been studied only in the charge two sector, by approximating time evolution by motion…

High Energy Physics - Theory · Physics 2023-07-12 Paul Sutcliffe

We consider a phase transition induced by the growth of Q-balls in a false vacuum. Such a transition could occur in the early universe in the case of broken supersymmetry with a metastable false vacuum. Small Q-balls with a negative…

High Energy Physics - Phenomenology · Physics 2012-07-24 Lauren Pearce

Complex scalars in U(1)-symmetric potentials can form stable Q-balls, non-topological solitons that correspond to spherical bound-state solutions. If the U(1) charge of the Q-ball is large enough, it can support a tower of unstable radial…

High Energy Physics - Theory · Physics 2022-09-09 Yahya Almumin , Julian Heeck , Arvind Rajaraman , Christopher B. Verhaaren

A new kind of Q-balls is found: Q-balls in a non-linear sigma model. Their main properties are presented together with those of their self-gravitating generalization, sigma model Q-stars. A simple special limit of solutions which are bound…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Y. Verbin

We obtain a new type of a stable Q ball in the context of gauge-mediated supersymmetry breaking in minimal supersymmetric standard model. It is so-called gravity-mediation type of Q ball, but stable against the decay into nucleons, since…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Kasuya , M. Kawasaki

We numerically study the Q-ball formation triggered by a cosmological first-order phase transition within the Friedberg-Lee-Sirlin model. By performing lattice simulations, we track the nonequilibrium dynamics throughout the transition,…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-28 Yuan-Jie Li , Jing Liu , Zong-Kuan Guo

We discuss stability of Q-balls interacting with fermions in theory with small coupling constant g. We argue that for configurations with large global U(1)-charge Q the problem of classical stability becomes more subtle. For example, in…

High Energy Physics - Phenomenology · Physics 2017-11-23 A. V. Kovtun , E. Ya. Nugaev

Non topological solitons, Q-balls can arise in many particle theories with U(1) global symmetries. As was shown by Cohen et al. \cite{Qballscohen}, if the corresponding scalar field couples to massless fermions, large Q-balls are unstable…

High Energy Physics - Phenomenology · Physics 2009-11-11 Stephen Clark

We study a multicomponent $CP^N$ model's scalar electrodynamics. The model contains $Q$-balls and $Q$-shells, which are nontopological compact solitons with time dependency $e^{i\omega t}$. Two coupled $CP^N$ models can decouple locally if…

High Energy Physics - Theory · Physics 2025-12-25 P. Klimas , L. C. Kubaski , N. Sawado , S. Yanai

We numerically study the formation of the gauge-mediation type Q balls in the logarithmic square potential on three-dimensional lattices. We obtain the broad charge distribution of the Q ball of this type for the first time. The charge of…

High Energy Physics - Phenomenology · Physics 2025-10-23 Shinta Kasuya , Masahiro Kawasaki

Can a dynamically robust (\textit{aka} stable) $Q$-ball reproduce the rotation curve of a disk galaxy? In an astrophysical environment, $Q$-balls are non-topological solitons that are transparent and only perceived by their gravitational…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Alexandre M. Pombo , Lorenzo Pizzuti , Alessandra di Giacomo

We demonstrate the existence of two-field Q-ball solutions of the scalar field equations of supersymmetric D- and F-term hybrid inflation. The solutions consist of a complex inflaton field together with a real symmetry breaking field. Such…

High Energy Physics - Phenomenology · Physics 2009-11-10 Matt Broadhead , John McDonald
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