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In this note we investigate the stability of the classical ground state of the Quantum Hall Soliton proposed recently in hep-th/0010105 . We explore two possible perturbations which are not spherically symmetric and we find that the…

High Energy Physics - Theory · Physics 2009-10-31 Iosif Bena , Aleksey Nudelman

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

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

Linearized deformations of the thick-walled (low-amplitude) (1+1)-dimensional Q-ball may be decomposed into relativistic modes, which are roughly plane waves, and also long-wavelength corotating and counterrotating Floquet modes. Each mode…

High Energy Physics - Theory · Physics 2026-04-10 Jarah Evslin , Hui Liu , Tomasz Romańczukiewicz , Yakov Shnir , Andrzej Wereszczyński , Piotr Ziobro

The properties of Q-balls in the general case of a sixth order potential have been studied using analytic methods. In particular, for a given potential, the initial field value that leads to the soliton solution has been derived and the…

High Energy Physics - Theory · Physics 2009-11-10 T. A. Ioannidou , A. Kouiroukidis , N. D. Vlachos

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

In the present work we investigate the existence and stability properties of q-balls which consist of a couple of scalar fields, forming an SU(2) doublet in a Lagrangian with a global SU(2) symmetry. We find that these spinors can form a…

High Energy Physics - Theory · Physics 2009-11-11 Athanasios Prikas

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 investigate the properties of interacting Q-balls and boson stars that sit on top of each other in great detail. The model that describes these solutions is essentially a (gravitating) two-scalar field model where both scalar fields are…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Yves Brihaye , Thierry Caebergs , Betti Hartmann , Momchil Minkov

When the quark-gluon plasma (QGP) - a system of deconfined quarks and gluons - is in a nonequilibrium state, it is usually unstable with respect to color collective modes. The instabilities, which are expected to strongly influence dynamics…

High Energy Physics - Phenomenology · Physics 2017-06-07 Stanislaw Mrowczynski , Bjoern Schenke , Michael Strickland

We study the canonical energy-momentum tensor of the spherically symmetric $U(1)$ gauged Q-ball configurations in the two-component Fridberg-Lee-Sirlin-Maxwell model, and in the one-component scalar model with a sixtic potential. We…

High Energy Physics - Theory · Physics 2022-09-14 Victor Loiko , Yakov Shnir

Unstable states that live long enough may appear as in(out)going particles in scattering experiments. Yet, the standard QFT approach strictly applies only to fully stable asymptotic states. This is evident when scattering involving unstable…

High Energy Physics - Phenomenology · Physics 2025-07-08 Francesco Giacosa , Vanamali Shastry

The stability of two-dimensional bright vortex solitons in a media with focusing cubic and defocusing quintic nonlinearities is investigated analytically and numerically. It is proved that above some critical beam powers not only one- and…

Optics · Physics 2009-11-10 T. A. Davydova , A. I. Yakimenko

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 extend calculational techniques for static solitons to the case of field configurations with simple time dependence in order to consider quantum effects on the stability of Q-balls. These nontopological solitons exist classically for any…

High Energy Physics - Theory · Physics 2009-11-07 N. Graham

In this paper we give an abstract definition of solitary wave and soliton and we develop an abstract existence theory. This theory provides a powerful tool to study the existence of solitons for the Klein-Gordon equations as well as for…

Mathematical Physics · Physics 2012-12-14 Vieri Benci , Donato Fortunato

Supersymmetric extensions of the Standard Model predict the existence of Q-balls, some of which can be entirely stable. Both stable and unstable Q-balls can play an important role in cosmology. In particular, Affleck-Dine baryogenesis can…

High Energy Physics - Phenomenology · Physics 2016-11-03 Alexander Kusenko

Static topologically-nontrivial configurations in sigma-models, for spatial dimension D \geq 2, are unstable. The question addressed here is whether such sigma-model solitons can be stabilized by steady rotation in internal space; that is,…

High Energy Physics - Theory · Physics 2015-06-26 R. S. Ward

A simple model is applied to study a high temperature rather dense plasma ball. It is assumed that the ions and delocalized electrons are distributed uniformly throughout the ball, and extra/missing charge is found in a thin layer on the…

Plasma Physics · Physics 2007-07-04 Yuri Kornyushin

As analogues of compact objects, solitons have attracted significant attention. We reveal that cylindrical Q-strings exhibit a dynamical instability to perturbations with wavelengths exceeding a threshold $\lambda>\lambda_{c}$. This…

High Energy Physics - Theory · Physics 2025-06-03 Qian Chen