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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

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

In this paper, we present a detailed study of the problem of classical stability of U(1) gauged Q-balls. In particular, we show that the standard methods that are suitable for establishing the classical stability criterion for ordinary…

High Energy Physics - Theory · Physics 2017-03-10 A. G. Panin , M. N. Smolyakov

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

In this work we deal with nontopological solutions of the Q-ball type in two spacetime dimensions. We study models of current interest, described by a Higgs-like and other, similar potentials which unveil the presence of exact solutions. We…

High Energy Physics - Theory · Physics 2016-05-24 D. Bazeia , M. A. Marques , R. Menezes

Collisions of non-topological solitons, Q-balls, are studied in the Minimal Supersymmetric Standard Model in two different cases: where supersymmetry has been broken by a gravitationally coupled hidden sector and by a gauge mediated…

High Energy Physics - Phenomenology · Physics 2017-08-23 Tuomas Multamaki

We derive an upper bound on the size of a ball such that the image of the ball under quadratic map is strongly convex and smooth. Our result is the best possible improvement of the analogous result by Polyak in the case of quadratic map. We…

Optimization and Control · Mathematics 2017-10-27 Anatoly Dymarsky

Introducing new physically motivated ans\"{a}tze, we explore both analytically and numerically the classical and absolute stabilities of a single $Q$-ball in an arbitrary number of spatial dimensions $D$, working in both the thin and thick…

High Energy Physics - Theory · Physics 2008-11-26 Mitsuo I. Tsumagari , Edmund J. Copeland , Paul M. Saffin

Non-topological solitons such as Q-balls and Q-shells have been studied for scalar fields invariant under global and gauged U(1) symmetries. We generalize this framework to include a Proca mass for the gauge boson, which can arise either…

High Energy Physics - Theory · Physics 2021-10-15 Julian Heeck , Arvind Rajaraman , Rebecca Riley , Christopher B. Verhaaren

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

This paper concerns hylomorphic solitons, namely stable, solitary waves whose existence is related to the ratio energy/charge. In theoretical physics, the name Q-ball refers to a type of hylomorphic solitons or soli- tary waves relative to…

Mathematical Physics · Physics 2016-11-25 Vieri Benci , Donato Fortunato

In this paper we present some features of Q-balls and we discuss their interactions with matter, and their energy losses in the Earth, for a large range of velocities. These calculations are used to compute the fractional geometrical…

High Energy Physics - Experiment · Physics 2009-10-31 M. Ouchrif

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

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 analyse the evolution of light Q-balls in a cosmological background, and find a number of interesting features. For Q-balls formed with a size comparable to the Hubble radius, we demonstrate that there is no charge radiation, and that…

High Energy Physics - Theory · Physics 2009-11-10 Eran Palti , P. M. Saffin , E. J. Copeland

We develop an adequate description of non-topological solitons with a small charge, for which the thin-wall approximation is not valid. There is no classical lower limit on the charge of a stable Q-ball. We examine the parameters of these…

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

We study the energy-momentum tensor of stable, meta-stable and unstable Q-balls in scalar field theories with U(1) symmetry. We calculate properties such as charge, mass, mean square radii and the constant d1 ("D-term") as functions of the…

High Energy Physics - Phenomenology · Physics 2012-10-03 Manuel Mai , Peter Schweitzer

Using Renormalization Group Theory we show that oscillons in (1+1)-dimensions can be obtained, at the leading nonlinear order, from $Q$-balls of universal complex field theories. For potentials with a nonzero cubic or quartic term the…

High Energy Physics - Theory · Physics 2025-02-28 F. Blaschke , T. Romańczukiewicz , K. Sławińska , A. Wereszczyński

The maximum size of a bound cosmic structure is computed perturbatively as a function of its mass in the framework of the cubic galileon, proposed recently to model the dark energy of our Universe. Comparison of our results with…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Sourav Bhattacharya , Konstantinos F. Dialektopoulos , Theodore N. Tomaras

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
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