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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

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

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 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

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

Stable non-topological solitons, Q-balls, are studied using analytical and numerical methods. Three different physically interesting potentials that support Q-ball solutions are considered: two typical polynomial potentials and a…

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

Multi-field Q-balls, in which some, but not all, of the constituent fields are real scalars, are studied. Uncharged fields may classically contribute to Q-balls provided that their effect is to not destabilise the resulting object. The…

High Energy Physics - Phenomenology · Physics 2021-12-30 Olivier Lennon

We obtain Q-ball solutions in noncommutative scalar field theory with a global U(1) invariance. The Q-ball solutions are shown to be classically and quantum mechanically stable. We also find that "excited Q-ball" states exist for some class…

High Energy Physics - Theory · Physics 2009-11-07 Youngjai Kiem , Chanju Kim , Yoonbai Kim

Solitonic scalar field configurations are studied in a theory coupled to gravity. It is found that non-topological solitons, Q-balls, are present in the theory. Properties of gravitationally self coupled Q-balls are studied by analytical…

High Energy Physics - Phenomenology · Physics 2015-06-25 T. Multamaki , I. Vilja

We consider Friedberg-Lee-Sirlin Q-balls in a (3+1)-dimensional model with vanishing scalar potential of one of the fields. The Q-ball is stabilized by the gradient energy of this field and carries scalar charge, over and beyond the global…

High Energy Physics - Theory · Physics 2011-03-02 V. Rubakov , A. Levin

Q-balls -- whether in the single-field or multi-field context -- are usually studied in theories containing only one stabilising symmetry. However, this is not the most general scenario. In this paper, we study a class of theories with…

High Energy Physics - Phenomenology · Physics 2022-01-04 Olivier Lennon

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

The regularized signum-Gordon potential has a smooth minimum and is linear in the modulus of the field value for higher amplitudes. The Q-ball solutions in this model are investigated. Their existence for charges large enough is…

High Energy Physics - Theory · Physics 2010-09-16 Jakub Lis

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

We study the classical and absolute stability of Q-balls in scalar field theories with flat potentials arising in both gravity-mediated and gauge-mediated models. We show that the associated Q-matter formed in gravity-mediated potentials…

High Energy Physics - Theory · Physics 2009-08-13 Edmund J. Copeland , Mitsuo I. Tsumagari

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

Q-balls are non-topological solitons arising in scalar field theories. Solutions for rotating Q-balls (and the related boson stars) have been shown to exist when the angular momentum is equal to an integer multiple of the Q-ball charge $Q$.…

High Energy Physics - Theory · Physics 2024-04-11 Yahya Almumin , Julian Heeck , Arvind Rajaraman , Christopher B. Verhaaren

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

We study linear perturbations of classically stable Q-balls in theories admitting analytic solutions. Although the corresponding boundary value problem is non-Hermitian, the analysis of perturbations can also be performed analytically in…

High Energy Physics - Theory · Physics 2018-12-05 A. Kovtun , E. Nugaev , A. Shkerin

We study numerically a class of non-topological solitons, the Q-balls, arising in supersymmetric extension of the Standard Model with low-energy, gauge-mediated symmetry breaking. % Taking into account the exact form of the supersymmetric…

High Energy Physics - Theory · Physics 2008-11-26 L. Campanelli , M. Ruggieri
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