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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

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

Q-balls generically exist in the supersymmetric extensions of the standard model. Taking into account the additional sources of CP violation, which are naturally accomodated by the supersymmetric models, it is shown that the Q-ball matter…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Boz , D. A. Demir , N. K. Pak

We provide a review of non-topological solitonic solutions arising in theories with a complex scalar field and global or gauge $U(1)$-symmetry. It covers Q-balls, homogeneous charged scalar condensates, and nonlinear localized holes and…

High Energy Physics - Theory · Physics 2020-04-22 Emin Nugaev , Andrey Shkerin

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

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

Magnetic monopoles and Q-balls are examples of topological and nontopological solitons, respectively. A new soliton state with both topological and nontopological charges is shown to also exist, given a monopole sector with a portal…

High Energy Physics - Phenomenology · Physics 2022-02-09 Yang Bai , Sida Lu , Nicholas Orlofsky

Excited Q-balls are studied by numerical simulations in the Minimal Supersymmetric Standard Model with supersymmetry broken by a gravity mediated mechanism. It is found that there is a suppression factor of $\cO(10^{-2})$ in the rate at…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tuomas Multamaki

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

All supersymmetric generalizations of the Standard Model allow for stable non-topological solitons of the Q-ball type which may have non-zero baryon and lepton numbers, as well as the electric charge. These solitons can be produced in the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Alexander Kusenko

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

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

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

The physics of individual Q-balls and interactions between multiple Q-balls are well-studied in classical numerical simulations. Interesting properties and phenomena have been discovered, involving stability, forces, collisions and swapping…

High Energy Physics - Theory · Physics 2023-12-05 Qi-Xin Xie , Paul M. Saffin , Anders Tranberg , Shuang-Yong Zhou

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

Non-topological gauged soliton solutions called Q-balls arise in many scalar field theories that are invariant under a U(1) gauge symmetry. The related, but qualitatively distinct, Q-shell solitons have only been shown to exist for special…

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

The properties of several types of Q-stars are studied and compared with their flat space analogues, i.e. Q-balls. The analysis is based on calculating the mass, global U(1) charge and binding energy for families of solutions parametrized…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Y. Verbin

Q-balls are large bound-state systems of scalar particles, described classically through localized solutions of the equations of motion. Promoting the required stabilizing $U(1)$ symmetry to a gauge symmetry leads to gauged Q-balls, which…

High Energy Physics - Phenomenology · Physics 2026-04-10 Julian Heeck , Yu Zhi

Future experiments may discover new scalar particles with global charges and couplings that allow for solitonic states. If the effective potential has flat directions, the scalar VEV inside a large Q-ball can exceed the particle mass by…

High Energy Physics - Phenomenology · Physics 2009-07-09 Gia Dvali , Alexander Kusenko , Mikhail Shaposhnikov

It is known that after Affleck-Dine baryogenesis, spatial inhomogeneities of Affleck-Dine field grow into non-topological solitons called Q-balls. In gauge mediated SUSY breaking models, sufficiently large Q-balls with baryon charge are…

High Energy Physics - Phenomenology · Physics 2015-09-23 Jeong-Pyong Hong , Masahiro Kawasaki , Masaki Yamada