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The (1+1)-dimensional gauge model of two complex self-interacting scalar fields that interact with each other through an Abelian gauge field and a quartic scalar interaction is considered. It is shown that the model has nontopological…

High Energy Physics - Theory · Physics 2019-03-27 A. Yu. Loginov , V. V. Gauzshtein

Gauge-mediated models of supersymmetry-breaking imply that stable Q-balls can form in the early universe and act as dark matter. All stable Q-balls in the MSSM are associated with one or more flat directions. We show that while Q-balls are…

High Energy Physics - Phenomenology · Physics 2009-07-28 Ian M. Shoemaker

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

It is known that after Affleck-Dine baryogenesis, spatial inhomogeneities of Affleck-Dine field grow into non-topological solitons called Q-balls. In gauge mediated SUSY breaking models, sufficiently large Q-balls with baryon charge are…

High Energy Physics - Phenomenology · Physics 2015-09-23 Jeong-Pyong Hong , Masahiro Kawasaki , Masaki Yamada

Recently proposed by the author theory of the Q-balls mechanism of high-Tc superconductivity in cuprates is applied to explanation of known experimental data. The Q-balls (nontopological solitons) of coherently condensed spin/charge density…

Superconductivity · Physics 2026-04-28 S. I. Mukhin

Supersymmetric extensions of the Standard Model contain non-topological solitons, Q-balls, which can be stable and can be a form of cosmological dark matter. Understanding the interaction of SUSY Q-balls with matter fermions is important…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alexander Kusenko , Lee Loveridge , Mikhail Shaposhnikov

Coupled multi-component $\mathbb{C}P^N$ models with V-shaped potentials are analyzed. It is shown that the model has solutions being combinations of compact Q-balls and Q-shells. The compact nature of solutions permits the existence of…

High Energy Physics - Theory · Physics 2021-10-04 P. Klimas , L. C. Kubaski , N. Sawado , S. Yanai

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

We investigate the dynamics of Q-balls in one, two and three space dimensions, using numerical simulations of the full nonlinear equations of motion. We find that the dynamics of Q-balls is extremely complex, involving processes such as…

High Energy Physics - Theory · Physics 2009-10-31 Richard Battye , Paul Sutcliffe

Q-balls are large bound-state systems of scalar particles, described classically through localized solutions of the equations of motion. Promoting the required stabilizing $U(1)$ symmetry to a gauge symmetry leads to gauged Q-balls, which…

High Energy Physics - Phenomenology · Physics 2026-04-10 Julian Heeck , Yu Zhi

We study the formation of Q-balls which are made of flat directions that appear in the supersymmetric extension of the standard model in the context of gravity-mediated supersymmetry breaking. The full non-linear calculations for the…

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

Q-balls are bound-state configurations of complex scalars stabilized by a conserved Noether charge Q. They are solutions to a second-order differential equation that is structurally identical to Euclidean vacuum-decay bounce solutions in…

High Energy Physics - Phenomenology · Physics 2023-11-16 José Ramon Espinosa , Julian Heeck , Mikheil Sokhashvili

Q-balls are non-topological solitons that arise in theories with a complex scalar field possessing a conserved global U(1) charge. Their stability is ensured by this charge, making them potentially significant in cosmology. In this paper,…

High Energy Physics - Phenomenology · Physics 2025-04-21 Jin Kobayashi , Kazunori Nakayama , Masaki Yamada

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

We use numerical simulations and semi-analytical methods to investigate the stability and the interactions of nontopological stationary qball solutions. In the context of a simple model we map the parameter sectors of stability for a single…

High Energy Physics - Phenomenology · Physics 2009-10-31 Minos Axenides , Stavros Komineas , Leandros Perivolaropoulos , Manolis Floratos

We construct nontopological solitonic solutions in (3+1)-dimensional Minkowski spacetime carrying a conserved global U(1) charge and nonvanishing angular momentum in a supersymmetric extension of the standard model with low-energy,…

High Energy Physics - Theory · Physics 2009-09-14 L. Campanelli , M. Ruggieri

We investigate spherically symmetric non topological solitons in electrodynamics with a scalar field self interaction U ~|\psi| taken from the complex signum-Gordon model. We find Q-balls for small absolute values of the total electric…

High Energy Physics - Theory · Physics 2009-02-20 H. Arodź , J. Lis

A general analysis of Q-ball solutions of the supersymmetric F-term hybrid inflation field equations is given. The solutions consist of a complex inflaton field and a real symmetry breaking field, with a conserved global charge associated…

High Energy Physics - Theory · Physics 2010-12-03 John McDonald

Theories possessing non-canonical kinetic terms are often studied for Q-ball states in an ad-hoc manner. This paper seeks to generalise their study for both thin- and thick-wall Q-balls. Specifically, we show that theories whose potential…

High Energy Physics - Phenomenology · Physics 2021-12-24 Olivier Lennon

We study the evolution of Q-balls under a spontaneously broken global $U(1)$ symmetry. Q-balls are stabilized by the conservation of $U(1)$ charge, but when the symmetry is spontaneously broken, the resulting Nambu-Goldstone (NG) boson can…

High Energy Physics - Phenomenology · Physics 2025-07-03 Masahiro Kawasaki , Kai Murai , Fuminobu Takahashi