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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

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

Upper bounds are obtained for the $p$-capacity of compact sets in $\R^d$, with $d \ge 2$ and $1<p<d$. Upper and lower bounds are obtained for the product of $p$-capacity and powers of the $q$-torsional rigidity over the collection of all…

Analysis of PDEs · Mathematics 2025-07-25 Michiel van den Berg , Nunzia Gavitone

This work deals with charged nontopological solutions that appear in relativistic models described by a single complex scalar field in two-dimensional spacetime. We study a model which supports novel analytical configurations of the Q-ball…

High Energy Physics - Theory · Physics 2019-09-04 D. Bazeia , M. A. Marques , R. Menezes

The paper, classically, presents an extended Klein-Gordon field system in 3+1 dimensions with a special Q-ball solution. The Q-ball solution is energetically stable, that is, for any arbitrary small deformation above the background of that,…

High Energy Physics - Theory · Physics 2020-01-06 Mohammad Mohammadi

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

Q-balls arise in particle theories with U(1) global symmetry. The coupling of the corresponding scalar field to fermions leads to Q-ball evaporation. In this paper we consider the oposite problem, the case where a Q-ball absorbs particles…

High Energy Physics - Theory · Physics 2007-07-05 Stephen Clark

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 show that Q-balls naturally exist in the Minimal Supersymmetric Standard Model (MSSM) with soft SUSY breaking terms of the minimal N=1 SUGRA type. These are associated with the F- and D-flat directions of the scalar potential once…

High Energy Physics - Phenomenology · Physics 2009-10-30 Kari Enqvist , John McDonald

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

In this paper the existence of analytical solutions describing $Q$-balls in a family of deformed $O(4)$ sigma models in (1+1) dimensions has been investigated. These models involve two complex scalar fields whose coupling breaks the $O(4)$…

High Energy Physics - Theory · Physics 2024-10-08 Albertp Alonso-Izquierdo , Carlos Garzon Sanchez

We investigate spherically symmetric non topological solitons in electrodynamics with a scalar field self interaction U ~|\psi| taken from the complex signum-Gordon model. We find Q-balls for small absolute values of the total electric…

High Energy Physics - Theory · Physics 2009-02-20 H. Arodź , J. Lis

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

A toy model of the fractional quantum Hall effect appears as part of the low-energy description of the Coulomb branch of the $A_1$ (2,0)-theory formulated on $(S^1\times R^2)/Z_k$, where the generator of $Z_k$ acts as a combination of…

High Energy Physics - Theory · Physics 2015-10-28 Ori J. Ganor , Yoon Pyo Hong , Nathan Moore , Hao-Yu Sun , H. S. Tan , Nesty R. Torres-Chicon

In a series of recent works Ishihara and Ogawa have investigated non-topological solitons (Q-balls) in a spontaneously broken Abelian gauge theory coupled to two complex scalar fields. The present paper extends their investigations to the…

High Energy Physics - Theory · Physics 2020-11-04 Péter Forgács , Árpád Lukács

We study compact gravitating $Q$-ball, $Q$-shell solutions in a sigma model with the target space $\mathbb{C}P^N$. Models with odd integer $N$ and suitable potential can be parameterized by $N$-th complex scalar fields and they support…

High Energy Physics - Theory · Physics 2019-02-27 Pawel Klimas , Nobuyuki Sawado , Shota Yanai

We compute, in the large N limit, the quark potential for ${\cal N}=4$ supersymmetric SU(N) Yang-Mills theory broken to $SU(N_1) \times SU(N_2)$. At short distances the quarks see only the unbroken gauge symmetry and have an attractive…

High Energy Physics - Theory · Physics 2010-02-03 J. A. Minahan , N. P. Warner

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

Given a bulk scalar field with sufficient self-interactions in a higher dimensional spacetime, it is shown that the continuous symmetries in four dimensions, induced by the topological structure of the compact manifold, naturally lead to…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. A. Demir

Motivated by recent constructions of TeV-scale strongly-coupled dynamics, either associated with the Higgs sector itself as in pseudo-Nambu-Goldstone boson (pNGB) Higgs models or in theories of asymmetric dark matter, we show that stable…

High Energy Physics - Phenomenology · Physics 2018-01-17 Fady Bishara , George Johnson , Olivier Lennon , John March-Russell
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