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Related papers: Q-balls in the regularized signum-Gordon model

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We use analytic and numerical methods to obtain the solution of the Q-ball equation of motion. In particular, we show that the profile function of the three-dimensional Q-ball can be accurately approximated by the symmetrized Woods-Saxon…

High Energy Physics - Theory · Physics 2009-11-10 Theodora Ioannidou , N. D. Vlachos

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

Relativistic scalar field theories with a conserved global charge Q possess often (meta)stable spherically symmetric soliton solutions, called Q-balls. We elaborate on the perfect formal analogy which exists between Q-balls, and spherically…

Statistical Mechanics · Physics 2009-11-10 K. Enqvist , M. Laine

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

We study non-topological Q-ball solutions of the (3+1)-dimensional Friedberg-Lee-Sirlin two-component model. The limiting case of vanishing potential term yields an example of hairy Q-balls, which possess a long range massless real field.…

High Energy Physics - Theory · Physics 2018-09-12 V. Loiko , I. Perapechka , Ya. Shnir

We analyze the classical stability of Q-tubes --- charged extended objects in $(3+1)$-dimensional complex scalar field theory. Explicit solutions were found analytically in the piecewise parabolic potential. Our choice of potential allows…

High Energy Physics - Theory · Physics 2014-07-29 E. Nugaev , A. Shkerin

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

This paper is concerned with the dynamics and interactions of Q-balls in (1+1)-dimensions. The asymptotic force between well-separated Q-balls is calculated to show that Q-balls can be attractive or repulsive depending upon their relative…

High Energy Physics - Theory · Physics 2009-02-09 Peter Bowcock , David Foster , Paul Sutcliffe

We show that the CPN model with odd number of scalar fields and V-shaped potential possesses finite energy compact solutions in the form of Q-balls and Q-shells. The solutions were obtained in 3+1 dimensions. Q-balls appears for N=1 and N=3…

High Energy Physics - Theory · Physics 2017-07-12 P. Klimas , L. R. Livramento

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

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

We discuss the $U(1)$ gauged Q-balls with $N$-power potential to examine their properties analytically. More numerical descriptions and some analytical consideration have been contributed to the models governed by four-power potential. We…

High Energy Physics - Theory · Physics 2018-02-12 Yue Zhong , Lingshen Chen , Hongbo Cheng

We examine the energetics of Q-balls in Maxwell-Chern-Simons theory in two space dimensions. Whereas gauged Q-balls are unallowed in this dimension in the absence of a Chern-Simons term due to a divergent electromagnetic energy, the…

High Energy Physics - Theory · Physics 2008-11-26 M. Deshaies-Jacques , R. MacKenzie

Q-balls are bound-state configurations of complex scalars stabilized by a conserved Noether charge Q. They are solutions to a second-order differential equation that is structurally identical to Euclidean vacuum-decay bounce solutions in…

High Energy Physics - Phenomenology · Physics 2023-11-16 José Ramon Espinosa , Julian Heeck , Mikheil Sokhashvili

We study stability of a generalized sine-Gordon model with two coupled scalar fields in two dimensions. Topological soliton solutions are found from the first-order equations that solve the equations of motion. The perturbation equations…

High Energy Physics - Theory · Physics 2008-11-26 Ruben Cordero , Roberto D. Mota

In this paper, we continue discussing Q-balls in the Wick--Cutkosky model. Despite Q-balls in this model are composed of two scalar fields, they turn out to be very useful and illustrative for examining various important properties of…

High Energy Physics - Theory · Physics 2019-02-22 A. G. Panin , M. N. Smolyakov

We consider a parabolic sine-Gordon model with periodic boundary conditions. We prove a fundamental maximum principle which gives a priori uniform control of the solution. In the one-dimensional case we classify all bounded steady states…

Analysis of PDEs · Mathematics 2021-06-15 Xinyu Cheng , Dong Li , Chaoyu Quan , Wen Yang

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

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

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