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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

Q ball solutions are considered within the theory of a complex scalar field with a gauged U(1) symmetry and a parabolic-type potential. In the thin-walled limit, we show explicitly that there is a maximum size for these objects because of…

Mathematical Physics · Physics 2016-09-07 Xin-zhou Li , Jian-gang Hao , Dao-jun Liu , Guang Chen

We study long-term evolution of radiating quasi-Q-balls in 1+1 dimensional models without mass threshold. Two different models are considered, the model with a rational modification of the usual Q-ball sextic potential and the model of a…

High Energy Physics - Theory · Physics 2025-03-12 Tomasz Romanczukiewicz , Yakov Shnir

We investigate the dynamics of Q-balls in one, two and three space dimensions, using numerical simulations of the full nonlinear equations of motion. We find that the dynamics of Q-balls is extremely complex, involving processes such as…

High Energy Physics - Theory · Physics 2009-10-31 Richard Battye , Paul Sutcliffe

A new kind of Q-balls is found: Q-balls in a non-linear sigma model. Their main properties are presented together with those of their self-gravitating generalization, sigma model Q-stars. A simple special limit of solutions which are bound…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Y. Verbin

We study the structure of the energy-momentum tensor of radial excitations of Q-balls in scalar field theories with U(1) symmetry. The obtained numerical results for the $1\le N \le 23$ excitations allow us to study in detail patterns how…

High Energy Physics - Phenomenology · Physics 2012-11-07 Manuel Mai , Peter Schweitzer

Recently, it has been found that a $Q$-ball can amplify waves incident upon it, due to rotation in the internal space and the interaction of the two modes in the complex scalar field. While the spherically symmetric 3D case has been…

High Energy Physics - Theory · Physics 2024-02-27 Guo-Dong Zhang , Fu-Ming Chang , Paul M. Saffin , Qi-Xin Xie , Shuang-Yong Zhou

Nodal, excited compactons in the $\mathbb{C}P^N$ models with V-shaped potentials are analyzed. It is shown that the solutions exist as compact $Q$-balls and $Q$-shells. The solutions have a discontinuity in the second derivative associated…

High Energy Physics - Theory · Physics 2022-04-20 P. Klimas , N. Sawado , S. Yanai

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 explicitly construct a large class of finite-volume two-magnon string solutions moving on R x S^2. In particular, by making use of the relationship between the O(3) sigma model and sine-Gordon theory we are able to find solutions…

High Energy Physics - Theory · Physics 2008-11-26 Thomas Klose , Tristan McLoughlin

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

Q-balls formed from the Affleck-Dine field have rich cosmological implications and have been extensively studied from both theoretical and simulational approaches. From the theoretical point of view, the exact solution of the Q-ball was…

High Energy Physics - Phenomenology · Physics 2019-12-03 Fuminori Hasegawa , Jeong-Pyong Hong , Motoo Suzuki

Bosons carrying a conserved charge can form stable bound states if their Lagrangian contains attractive self-interactions. Bound-state configurations with a large charge $Q$ can be described classically and are denoted as Q-balls, their…

High Energy Physics - Phenomenology · Physics 2023-02-01 Julian Heeck , Mikheil Sokhashvili

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

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

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

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 study $Q$-ball type solitons in arbitrary spatial dimensions in the setting recently described by Kusenko, where the scalar field potential has a flat direction which rises much slower than $\phi^2$. We find that the general formula for…

High Energy Physics - Theory · Physics 2010-02-03 R. B. MacKenzie , M. B. Paranjape

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

We consider axially symmetric, rotating boson stars. Their flat space limits represent spinning Q-balls. We discuss their properties and determine their domain of existence. Q-balls and boson stars are stationary solutions and exist only in…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Burkhard Kleihaus , Jutta Kunz , Meike List