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Scalars carrying a conserved global charge $Q$ can form stable localized field configurations composed of a large number of particles. These non-topological solitons are spherically symmetric and are called Q-balls. While usually analyzed…

High Energy Physics - Phenomenology · Physics 2026-04-03 Dusty Aiello , Julian Heeck

In this work the properties of Q-balls in the complex signum-Gordon model in $d$ spatial dimensions is studied. We obtain a general virial relation for this kind of Q-ball in the higher-dimensional spacetime. We compute the energy and radii…

High Energy Physics - Theory · Physics 2015-05-20 Huawen Wang , Hongbo Cheng

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

We discuss Q-balls in the complex signum-Gordon model in d-dimensional space for d=1,2,3. The Q-balls have strictly finite radius. Their total energy is a power-like function of the conserved U(1) charge with the exponent equal to…

High Energy Physics - Theory · Physics 2008-11-26 H. Arodź , J. Lis

We construct Q-ball solutions from a model consisting of one massive scalar field $\xi$ and one massive complex scalar field $\phi$ interacting via the cubic couplings $g_1 \xi \phi^{*} \phi + g_2 \xi^3$, typical of Henon-Heiles-like…

High Energy Physics - Theory · Physics 2024-05-01 Y. Brihaye , F. Buisseret

We show that many numerically established properties of Q-balls can be understood in terms of analytic approximations for a certain type of potential. In particular, we derive an explicit formula between the energy and the charge of the…

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

Multi-field Q-balls, in which some, but not all, of the constituent fields are real scalars, are studied. Uncharged fields may classically contribute to Q-balls provided that their effect is to not destabilise the resulting object. The…

High Energy Physics - Phenomenology · Physics 2021-12-30 Olivier Lennon

Complex scalar fields charged under a global U(1) symmetry can admit non-topological soliton configurations called Q-balls which are stable against decay into individual particles or smaller Q-balls. These Q-balls are interesting objects…

High Energy Physics - Theory · Physics 2021-09-15 Julian Heeck , Arvind Rajaraman , Rebecca Riley , Christopher B. Verhaaren

We study the energy-momentum tensor of stable, meta-stable and unstable Q-balls in scalar field theories with U(1) symmetry. We calculate properties such as charge, mass, mean square radii and the constant d1 ("D-term") as functions of the…

High Energy Physics - Phenomenology · Physics 2012-10-03 Manuel Mai , Peter Schweitzer

In this paper, the main properties of (3+1)-dimensional $U(1)$ gauged Q-balls are examined. In particular, it is shown that the relation $\frac{dE}{dQ}=\omega$ holds for such gauged Q-balls in the general case. As a consequence, it is shown…

High Energy Physics - Theory · Physics 2014-04-23 I. E. Gulamov , E. Ya. Nugaev , M. N. Smolyakov

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 consider Friedberg-Lee-Sirlin Q-balls in a (3+1)-dimensional model with vanishing scalar potential of one of the fields. The Q-ball is stabilized by the gradient energy of this field and carries scalar charge, over and beyond the global…

High Energy Physics - Theory · Physics 2011-03-02 V. Rubakov , A. Levin

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

Scalar field theories with particular U(1)-symmetric potentials contain non-topological soliton solutions called Q-balls. Promoting the U(1) to a gauge symmetry leads to the more complicated situation of gauged Q-balls. The soliton…

High Energy Physics - Theory · Physics 2023-06-14 Julian Heeck , Arvind Rajaraman , Rebecca Riley , Christopher B. Verhaaren

We make an analysis of Q-balls and boson stars using catastrophe theory, as an extension of the previous work on Q-balls in flat spacetime. We adopt the potential $V_3(\phi)={m^2\over2}\phi^2-\mu\phi^3+\lambda\phi^4$ for Q-balls and that…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Takashi Tamaki , Nobuyuki Sakai

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

The D-term is, like mass and spin, a fundamental property related to the energy-momentum tensor. Yet it is not known experimentally for any particle. In all theoretical studies so far the D-terms of various particles were found negative.…

High Energy Physics - Phenomenology · Physics 2016-05-04 Michael Cantara , Manuel Mai , Peter Schweitzer

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 study the properties of Q-balls dominated by the thermal logarithmic potential analytically instead of estimating the characters with only some specific values of model variables numerically. In particular the analytical expressions for…

High Energy Physics - Theory · Physics 2015-06-24 Yue Zhong , Hongbo Cheng

We present compact Q-balls in an (Anti-)de Sitter background in D dimensions, obtained with a V-shaped potential of the scalar field. Beyond critical values of the cosmological constant compact Q-shells arise. By including the gravitational…

General Relativity and Quantum Cosmology · Physics 2014-12-10 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz , Isabell Schaffer
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