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Related papers: Compact baby skyrmions

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We study the vibrational modes of Skyrmions with baryon numbers one through eight in the standard Skyrme model. The vibrational modes are found in the harmonic approximation around the classical soliton solution and the real parts of the…

High Energy Physics - Theory · Physics 2018-12-20 Sven Bjarke Gudnason , Chris Halcrow

Skyrme chains are topologically-nontrivial solutions of the Skyrme model which are (quasi-)periodic in one spatial direction. We report numerical and analytic investigations which show that such solutions exist. Chains of 1-skyrmions are…

High Energy Physics - Theory · Physics 2009-01-16 Derek Harland , R. S. Ward

We consider non-topological, "bell-shaped" localized and regular solutions available in some 1+1 dimensional scalar field theories. Several properties of such solutions are studied, namely their stability and the occurence of fermion bound…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , T. Delsate

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 how non-trivial form fields can induce an effective potential for the dilaton and metric moduli in compactifications of type II string theory and M-theory. For particular configurations, the potential can have a stable minimum. In…

High Energy Physics - Theory · Physics 2014-11-18 Andre Lukas , Burt A. Ovrut , Daniel Waldram

Supersymmetric extensions of the Standard Model contain non-topological solitons, Q-balls, which can be stable and can be a form of cosmological dark matter. Understanding the interaction of SUSY Q-balls with matter fermions is important…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alexander Kusenko , Lee Loveridge , Mikhail Shaposhnikov

In several self-coupled quantum field theories when treated in semi-classical limit one obtains solitonic solutions determined by topology of the boundary conditions. Such solutions, e.g. magnetic monopole in unified theories…

High Energy Physics - Phenomenology · Physics 2007-05-23 Abhijit Gadde , Narendra Sahu , Urjit A. Yajnik

We have shown the existence of self-dual solitons in a type of generalized Chern-Simons baby Skyrme model where the generalized function (depending only in the Skyrme field) is coupled to the sigma-model term. The consistent implementation…

High Energy Physics - Theory · Physics 2019-09-04 Rodolfo Casana , André C. Santos , Claudio F. Farias , Alexsandro L. Mota

We analyze the mechanism of condensation of orientational moduli (as introduced in [25]) on multi-Skyrmionic configurations of the four-dimensional Skyrme model. The present analysis reveals interesting novel features. First of all, the…

High Energy Physics - Theory · Physics 2016-08-24 Fabrizio Canfora , Gianni Tallarita

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 investigate the formation of singularities in a baby Skyrme type energy model, which describes magnetic solitons in two-dimensional ferromagnetic systems. In presence of a diverging anisotropy term, which enforces a preferred background…

Analysis of PDEs · Mathematics 2025-03-20 Luca Briani , Marco Cicalese , Leonard Kreutz

We investigate the existence of compact self-dual solitons in the restricted gauged baby Skyrme model in the presence of an external magnetic field. The consistent implementation of the Bogomol'nyi-Prasad-Sommerfield (BPS) formalism depends…

High Energy Physics - Theory · Physics 2025-08-05 N. H. Gonzalez-Gutierrez , Rodolfo Casana , André C. Santos

We derive the Bogomolny decompositions (Bogomolny equations) for: full baby Skyrme model and for its restricted version (so called, pure baby Skyrme model), in (2+0) dimensions, by using so called, concept of strong necessary conditions. It…

Mathematical Physics · Physics 2015-06-04 Ł. T. Stȩpień

Certain supersymmetric sigma models in 2+1 dimensions feature multi-soliton solutions, with and without scattering. We subject these systems to a non-anticommutative deformation by replacing the Grassmann algebra of the odd superspace…

High Energy Physics - Theory · Physics 2008-11-26 Sergei V. Ketov , Olaf Lechtenfeld

We couple Fermions to the isospinning (2+1) baby-skyrme model. We show that consistent rotationally invariant localised solutions can be found but the Fermionic solutions to the equations of motion are not in general eigenstates of the…

High Energy Physics - Theory · Physics 2023-09-14 Marco Barsanti , Gianni Tallarita

We obtain the lowest energy solutions for the skymion field equations and their corresponding vortex structures. Two nondegenerate solutions emerge with their vortex swirls in opposite directions. The solutions are associated with an…

Mesoscale and Nanoscale Physics · Physics 2016-03-09 J. C. Martinez , M. B. A. Jalil

Skyrmions in condensed matter physics appear as classical topological spin structures. This nontrivial state can be obtained solving the corresponding micromagnetic model, where the magnetization is treated as a continuous classical vector…

Strongly Correlated Electrons · Physics 2018-11-28 O. M. Sotnikov , V. V. Mazurenko , J. Colbois , F. Mila , M. I. Katsnelson , E. A. Stepanov

In the continuum O(3) sigma model in two spatial dimensions, there are topological solitons whose size can be stabilized by adding Skyrme and potential terms. This paper describes a lattice version, namely a natural way of modifying the 2d…

High Energy Physics - Theory · Physics 2016-09-06 R. S. Ward

We investigate the presence of non-topological solutions of the Q-ball type in (1, 1) spacetime dimensions. The model engenders the global U(1) symmetry and is of the k-field type, since it contains a new term, of the fourth-order power in…

High Energy Physics - Theory · Physics 2017-02-01 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

We study linear perturbations of classically stable Q-balls in theories admitting analytic solutions. Although the corresponding boundary value problem is non-Hermitian, the analysis of perturbations can also be performed analytically in…

High Energy Physics - Theory · Physics 2018-12-05 A. Kovtun , E. Nugaev , A. Shkerin
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