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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

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

The existence of non trivial, non topological solutions in a class of induced, effective gravity models arising out of a non minimally coupled scalar field is established. We shall call such solutions ``Gravity Balls'' as the effective…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Daksh Lohia

We consider a scalar field model with a self-interaction potential that possesses a discrete vacuum manifold. We point out that this model allows for both topological as well as non-topological solitons. In (1+1) dimensions both type of…

High Energy Physics - Theory · Physics 2016-01-06 Yves Brihaye , Adolfo Cisterna , Betti Hartmann , Gabriel Luchini

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

We study non-topological solitons, so called Q-balls, which carry a non-vanishing Noether charge and arise as lump solutions of self-interacting complex scalar field models. Explicit examples of new axially symmetric non-spinning Q-ball…

High Energy Physics - Theory · Physics 2014-11-18 Yves Brihaye , Betti Hartmann

We explore equilibrium solutions of non-topological solitons in a general class of scalar field theories which include global U(1) symmetry. We find new types of solutions, tube-shaped and crust-shaped objects, and investigate their…

High Energy Physics - Theory · Physics 2015-05-20 Nobuyuki Sakai , Hideki Ishihara , Ken-ichi Nakao

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

In the present work we investigate the existence and stability properties of q-balls which consist of a couple of scalar fields, forming an SU(2) doublet in a Lagrangian with a global SU(2) symmetry. We find that these spinors can form a…

High Energy Physics - Theory · Physics 2009-11-11 Athanasios Prikas

Solitons in relativistic field theories are not necessarily topologically charged. In particular, non-topological solitons -- known as Q-balls -- arise naturally in nonlinear field theories endowed with attractive interactions and internal…

High Energy Physics - Theory · Physics 2025-04-15 Shuang-Yong Zhou

The (2 + 1)-dimensional gauge model describing two complex scalar fields that interact through a common Abelian gauge field is considered. It is shown that the model has a soliton solution that describes a system consisting of a vortex and…

High Energy Physics - Theory · Physics 2019-01-07 A. Yu. Loginov

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

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 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 consider the existence and stability of solitons in generalized galileons, scalar field theories with higher-derivative interactions but second-order equations of motion. It has previously been proven that no stable, static solitons…

High Energy Physics - Theory · Physics 2016-12-28 Mariana Carrillo-Gonzalez , Ali Masoumi , Adam R. Solomon , Mark Trodden

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

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 consider localized soliton-like solutions in the presence of a stable scalar condensate background. By the analogy with classical mechanics, it can be shown that there may exist solutions of the nonlinear equations of motion that…

High Energy Physics - Theory · Physics 2016-12-14 E. Nugaev , A. Shkerin , M. Smolyakov

We discuss the conditions under which static, finite-energy, configurations of a complex scalar field $\phi$ with constant phase and spherically symmetric norm exist in a potential of the form $V(\phi^*\phi, \phi^N+\phi^{*N})$ with…

High Energy Physics - Theory · Physics 2022-11-30 F. Buisseret , Y. Brihaye

In this paper we consider a class of systems of two coupled real scalar fields in bidimensional spacetime, with the main motivation of studying classical or linear stability of soliton solutions. Firstly, we present the class of systems and…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , J. R. S. Nascimento , R. F. Ribeiro , D. Toledo