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Analytical arguments suggest that a large class of scalar field potentials permit the existence of oscillons -- pseudo-stable, non-topological solitons -- in three spatial dimensions. In this paper we numerically explore oscillon solutions…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-09 Mustafa A. Amin , Richard Easther , Hal Finkel

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

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

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

In this letter the nontopological scalar solitons with a self-interaction potential are investigated in a static de Sitter spacetime and their field equations are derived. In particular, with series expansion we prove analytically the…

High Energy Physics - Theory · Physics 2010-04-30 Hongbo Cheng , Zhengyan Gu

Isorotating ${\mathbb C}P^2$ Q-solitons in $2+1$ dimensions were studied. Hamiltonian formalism as a more physically meaningful yet fairly demanding approach was adopted during the investigation, which helped to exclude unobservable…

High Energy Physics - Theory · Physics 2025-05-14 Sergei Antsipovich

Based on the spectral decomposition technique, we introduce a simple and universal numerical method to analyze the stability of solitons. Adopting this method, the linear dynamical properties of $Q$-balls are systematically revealed, from…

High Energy Physics - Theory · Physics 2025-09-24 Qian Chen , Lars Andersson , Li Li

Q-balls are non-topological solitonic solutions to a wide class of field theories that possess global symmetries. Here we show that in these same theories there also exists a tower of novel composite Q-ball solutions where, within one…

High Energy Physics - Theory · Physics 2016-05-18 Edmund J. Copeland , Paul M. Saffin , Shuang-Yong Zhou

Exact droplet-like solutions to the nonlinear scalar field equations have been obtained in the Robertson-Walker space-time and their linearized stability has been proved.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yu. P. Rybakov , B. Saha , G. N. Shikin

It is shown, for the self-consistent system of scalar, electro-magnetic and gravitational fields in general relativity, that the equations of motion admit a special kind of solutions with spherical or cylindrical symmetry. For these…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yu. P. Rybakov , B. Saha , G. N. Shikin

We study a class of noncanonical real scalar field models in $(1+1)$-dimensional flat space-time. We first derive the general criterion for the classical linear stability of an arbitrary static soliton solution of these models. Then we…

High Energy Physics - Theory · Physics 2014-10-16 Yuan Zhong , Yu-Xiao Liu

We present numerical evidence for the existence of spinning generalizations for non-topological Q-ball solitons in the theory of a complex scalar field with a non-renormalizable self-interaction. To the best of our knowledge, this provides…

High Energy Physics - Theory · Physics 2009-11-07 Mikhail S. Volkov , Erik Woehnert

Abelian non-topological solitons with Baryon and/or Lepton quantum numbers naturally appear in the spectrum of the minimal supersymmetric standard model. They arise as a consequence of the existence of flat directions in the potential…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Axenides , E. G. Floratos , G. K. Leontaris , N. D. Tracas

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

We propose a solitonic dynamical system over finite fields that may be regarded as an analogue of the box-ball systems. The one-soliton solutions of the system, which have nested structures similar to fractals, are also proved. The…

Exactly Solvable and Integrable Systems · Physics 2014-08-04 Fumitaka Yura

Stable ring solutions supported by the angular momentum caused by superconducting charge and current have been suggested to exist in the gauged $U(1)\times U(1)$ field theory. We construct potentially cosmologically relevant solutions using…

High Energy Physics - Phenomenology · Physics 2021-12-22 R. A. Battye , S. J. Cotterill

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 soliton solutions in scalar field theory with a variety of unbounded potentials. A subset of these potentials have Gaussian lump solutions and their fluctuation spectrum is governed by the harmonic oscillator problem. These lumps…

High Energy Physics - Theory · Physics 2009-11-07 Dileep P. Jatkar , Radhika Vathsan

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 present spinning Q-balls and boson stars in four dimensional anti-de Sitter spacetime. These are smooth, horizonless solutions for gravity coupled to a massive complex scalar field with a harmonic dependence on time and the azimuthal…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Eugen Radu , Bintoro Subagyo
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