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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

Non-topological gauged soliton solutions called Q-balls arise in many scalar field theories that are invariant under a U(1) gauge symmetry. The related, but qualitatively distinct, Q-shell solitons have only been shown to exist for special…

High Energy Physics - Theory · Physics 2021-09-15 Julian Heeck , Arvind Rajaraman , Christopher B. Verhaaren

All supersymmetric generalizations of the Standard Model allow for stable non-topological solitons of the Q-ball type which may have non-zero baryon and lepton numbers, as well as the electric charge. These solitons can be produced in the…

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

Supersymmetric extensions of the standard model generically contain stable non-topological solitons, Q-balls, which carry baryon or lepton number. We show that large Q-balls can be copiously produced in the early universe, can survive until…

High Energy Physics - Phenomenology · Physics 2011-05-05 Alexander Kusenko , Mikhail Shaposhnikov

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

Given a bulk scalar field with sufficient self-interactions in a higher dimensional spacetime, it is shown that the continuous symmetries in four dimensions, induced by the topological structure of the compact manifold, naturally lead to…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. A. Demir

Magnetic monopoles and Q-balls are examples of topological and nontopological solitons, respectively. A new soliton state with both topological and nontopological charges is shown to also exist, given a monopole sector with a portal…

High Energy Physics - Phenomenology · Physics 2022-02-09 Yang Bai , Sida Lu , Nicholas Orlofsky

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

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

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

In various supersymmetric extensions of the Standard Model there appear non-topological solitons due to the existence of U(1) global symmetries associated with Baryon and/or Lepton quantum numbers. Trilinear couplings (A-terms) in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. K. Leontaris , A. Prikas , A. Spanou , N. D. Tracas , N. D. Vlachos

We study non-topological solitons, so called Q-balls, which carry a non-vanishing Noether charge and arise as lump solutions of self-interacting complex scalar field models. Explicit examples of new axially symmetric non-spinning Q-ball…

High Energy Physics - Theory · Physics 2014-11-18 Yves Brihaye , Betti Hartmann

Solitons in relativistic field theories are not necessarily topologically charged. In particular, non-topological solitons -- known as Q-balls -- arise naturally in nonlinear field theories endowed with attractive interactions and internal…

High Energy Physics - Theory · Physics 2025-04-15 Shuang-Yong Zhou

Complex scalar fields charged under a global U(1) symmetry can admit non-topological soliton configurations called Q-balls which are stable against decay into individual particles or smaller Q-balls. These Q-balls are interesting objects…

High Energy Physics - Theory · Physics 2021-09-15 Julian Heeck , Arvind Rajaraman , Rebecca Riley , Christopher B. Verhaaren

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

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

We discuss three different globally regular non-topological stationary soliton solutions in the theory of a complex scalar field in 3+1 dimensions, so-called Q-balls, Q-vortices and Q-walls. The charge, energy and profiles of the…

High Energy Physics - Theory · Physics 2015-05-27 Ya Shnir

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

We present the formalism of q-stars with local or global U(1) symmetry. The equations we formulate are solved numerically and provide the main features of the soliton star. We study its behavior when the symmetry is local in contrast to the…

High Energy Physics - Theory · Physics 2010-11-19 Athanasios Prikas

While Q-balls have been investigated intensively for many years, another type of nontopological solutions, Q-tubes, have not been understood very well. In this paper we make a comparative study of Q-balls and Q-tubes. First, we investigate…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Takashi Tamaki , Nobuyuki Sakai
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