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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

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

We clarify two issues related to the so-called $D$-term in matrix elements of the energy-momentum tensor. First, we show that in a stable system, the $D$-term can have either sign, contrary to claims that it must be negative. Second, we…

High Energy Physics - Phenomenology · Physics 2023-09-21 Andrzej Czarnecki , Yizhuang Liu , Syed Navid Reza

The D-term is a fundamental particle property which is defined through the matrix elements of the energy-momentum tensor and as such in principle on equal footing with mass and spin. Yet the experimental information on the D-term of any…

High Energy Physics - Phenomenology · Physics 2018-01-19 Maxim V. Polyakov , Peter Schweitzer

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

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

In the present paper, perturbations against a Q-ball solution are considered. It is shown that if we calculate the U(1) charge and the energy of the modes, which are solutions to linearized equations of motion, up to the second order in…

High Energy Physics - Theory · Physics 2018-02-20 Mikhail N. Smolyakov

Q-ball is a non-topological soliton whose stability is ensured by global U(1) symmetry. We study a Q-ball which arises in the Affleck-Dine mechanism for baryogenesis and consider its possible instability due to U(1) breaking term ($A$-term)…

High Energy Physics - Phenomenology · Physics 2010-11-05 Masahiro Kawasaki , Kenichiro Konya , Fuminobu Takahashi

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

In this work we deal with non-topological solutions of the Q-ball type in two space-time dimensions, in models described by a single complex scalar field that engenders global symmetry. The main novelty is the presence of stable Q-balls…

High Energy Physics - Theory · Physics 2016-05-24 D. Bazeia , L. Losano , M. A. Marques , R. Menezes , R. da Rocha

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

We investigate the dynamics of $U(1)$ gauged Q-balls using fully three-dimensional numerical simulations. We consider two different scenarios: first, the classical stability of gauged Q-balls with respect to generic three-dimensional…

High Energy Physics - Theory · Physics 2025-03-28 Michael P. Kinach , Matthew W. Choptuik

Explicit solutions for extended objects of a Q-ball type were found analytically in a model describing complex scalar field with piecewise parabolic potential in (3+1)- and (1+1)-dimensional space-times. Such a potential provides a variety…

High Energy Physics - Theory · Physics 2013-05-08 I. E. Gulamov , E. Ya. Nugaev , M. N. Smolyakov

We study Q-balls associated with local U(1) symmetries. Such Q-balls are expected to become unstable for large values of their charge because of the repulsion mediated by the gauge force. We consider the possibility that the repulsion is…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. N. Anagnostopoulos , M. Axenides , E. G. Floratos , N. Tetradis

We study the dynamics of $U(1)$ gauged Q-balls using fully non-linear numerical evolutions in axisymmetry. Focusing on two models with logarithmic and polynomial scalar field potentials, we numerically evolve perturbed gauged Q-ball…

High Energy Physics - Theory · Physics 2023-04-04 Michael P. Kinach , Matthew W. Choptuik

Spatially-bound objects across diverse length and energy scales are characterized by a binding energy. We propose that their spatial structure is mathematically encoded as information in their momentum modes and described by a measure known…

High Energy Physics - Theory · Physics 2018-03-23 Marcelo Gleiser , Damian Sowinski

We study the evolution of Q-balls under a spontaneously broken global $U(1)$ symmetry. Q-balls are stabilized by the conservation of $U(1)$ charge, but when the symmetry is spontaneously broken, the resulting Nambu-Goldstone (NG) boson can…

High Energy Physics - Phenomenology · Physics 2025-07-03 Masahiro Kawasaki , Kai Murai , Fuminobu Takahashi

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

We show analytically that the vacuum electromagnetic stress-energy tensor outside a ball with constant dielectric constant and permeability always obeys the weak, null, dominant, and strong energy conditions. There are still no known…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Noah Graham , Ken D. Olum , Delia Schwartz-Perlov

We present the formalism of q-stars with local or global U(1) symmetry. The equations we formulate are solved numerically and provide the main features of the soliton star. We study its behavior when the symmetry is local in contrast to the…

High Energy Physics - Theory · Physics 2010-11-19 Athanasios Prikas