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Related papers: Baby skyrmion crystals stabilized by vector mesons

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A restriction of the baby Skyrme model consisting of the quartic and potential terms only is investigated in detail for a wide range of potentials. Further, its properties are compared with those of the corresponding full baby Skyrme…

High Energy Physics - Theory · Physics 2010-04-14 C. Adam , T. Romanczukiewicz , J. Sanchez-Guillen , A. Wereszczynski

In this work we analize how the inclusion of extra mesonic degrees of freedom affect the finite density solitons crystals of the Skyrme model. In particular, the first analytic examples of hadronic crystals at finite baryon density in both…

High Energy Physics - Theory · Physics 2022-08-17 Gonzalo Barriga , Fabrizio Canfora , Marcela Lagos , Matías Torres , Aldo Vera

We analyze the vector meson formulation of the BPS Skyrme model in (3+1) dimensions, where the term of sixth power in first derivatives characteristic for the original, integrable BPS Skyrme model (the topological or baryon current squared)…

High Energy Physics - Theory · Physics 2013-05-30 C. Adam , C. Naya , J. Sanchez-Guillen , A. Wereszczynski

This paper describes a lattice version of the Skyrme model in 2+1 and 3+1 dimensions. The discrete model is derived from a consistent discretization of the radial continuum problem. Subsequently, the existence and stability of the skyrmion…

Exactly Solvable and Integrable Systems · Physics 2008-12-18 Theodora Ioannidou , Panos Kevrekidis

The crystalline structure of nuclear matter is investigated in the standard Skyrme model with massive pions. A semi-analytic method is developed to determine local minima of the static energy functional with respect to variations of both…

High Energy Physics - Theory · Physics 2023-10-17 Derek Harland , Paul Leask , Martin Speight

A gauged (2+1)-dimensional version of the Skyrme model is investigated. The gauge group is $U(1)$ and the dynamics of the associated gauge potential is governed by a Maxwell term. In this model there are topologically stable soliton…

High Energy Physics - Theory · Physics 2009-03-09 J. Gladikowski , B. M. A. G. Piette , B. J. Schroers

We demonstrate that the gauged BPS baby Skyrme model with a double vacuum potential allows for phase transitions from a non-solitonic to a solitonic phase, where the latter corresponds to a ferromagnetic liquid. Such a transition can be…

High Energy Physics - Theory · Physics 2015-01-19 C. Adam , C. Naya , T. Romanczukiewicz , J. Sanchez-Guillen , A. Wereszczynski

We investigate the relation between the BPS baby Skyrme model and its vector meson formulation, where the baby Skyrme term is replaced by a coupling between the topological current $B_\mu$ and the vector meson field $\omega_\mu$. The vector…

High Energy Physics - Theory · Physics 2013-05-30 C. Adam , C. Naya , J. Sanchez-Guillen , A. Wereszczynski

In order to develop a model that can describe both a single baryon and multi-baryon systems on the same footing, we re-investigate the Skyrme model in a chiral Lagrangian derived from the hidden local symmetry (HLS) up to $O(p^4)$ including…

High Energy Physics - Phenomenology · Physics 2014-02-13 Yongseok Oh

Solitons in liquid crystals are spatially localised stable configuration of the liquid crystal orientational order parameter that exhibit emergent particle-like properties such as mutual interaction, translational motion and reconfigurable…

Soft Condensed Matter · Physics 2024-10-08 Allison W. Teixeira , Cristóvão S. Dias , Mykola Tasinkevych

The O(3) Skyrme system in two space dimensions admits topological soliton solutions. This paper studies the transition between the high-density crystalline phase of such solitons and the low-density phase where there are multi-Skyrmions…

High Energy Physics - Theory · Physics 2009-11-10 R. S. Ward

The finite-density and finite-temperature phase portraits of the baby-Skyrme and Skyrme models are investigated. Both grand-canonical and canonical approaches are employed. The grand-canonical approach can be used to find the ``natural''…

High Energy Physics - Phenomenology · Physics 2007-05-23 Oliver Schwindt , Niels R. Walet

Using numerical simulations, the stability and scattering properties of the O(3) model on a two-dimensional torus are studied. Its solitons are found to be unstable but can be stabilized by the addition of a Skyrme term to the Lagrangian.…

High Energy Physics - Theory · Physics 2008-11-26 R. J. Cova , W. J. Zakrzewski

We consider a class of (2+1) dimensional baby Skyrme models with potentials that have more than one vacum. These potentials are generalisation of old and new baby Skyrme models;they involve more complicated dependence on phi_3.We find that…

High Energy Physics - Theory · Physics 2009-10-31 P. Eslami , W. J. Zakrzewski , M. Sarbishaei

Intricate spin textures in helimagnets, identified as stable topological Skyrmions, were observed experimentally, where Skyrme lattice was supposed to exhibit symmetric structures in the ground state. We show the possibility of asymmetric…

Strongly Correlated Electrons · Physics 2015-11-18 Anjan Kundu

In the spirit of previous papers, but using more general field configurations, the non-linear O(3) model in (2+1)-D, modified by the addition of both a potential-like term and a Skyrme-like term, is considered. The instanton solutions are…

High Energy Physics - Theory · Physics 2009-08-28 R. J. Cova , W. J. Zakrzewski

We introduce a system composed of two (2+1)-dimensional baby-skyrmion models (BSMs) set on parallel planes and linearly coupled by tunneling of fields. This system can be realized in a dual-layer ferromagnetic medium. Unlike dual-core…

High Energy Physics - Theory · Physics 2015-06-18 Boris A. Malomed , Yakov Shnir , Gleb Zhilin

We construct the first analytic examples of topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model within a finite box in (3+1)-dimensional flat space-time. There are two types of gauged solitons. The first…

High Energy Physics - Theory · Physics 2018-01-17 L. Avilés , F. Canfora , N. Dimakis , D. Hidalgo

We provide analytical and numerical evidence of the existence of classically stable, string-like configurations in a 2+1 dimensional analog of the Skyrme model. The model contains a conserved topological charge usually called the baryon…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Gisiger , M. B. Paranjape

We study the simplest $SO(2)$ gauged $O(5)$ Skyrme models in $4+1$ (flat) dimensions. In the gauge decoupled limit, the model supports topologically stable solitons (Skyrmions) and after gauging, the static energy of the solutions is…

High Energy Physics - Theory · Physics 2020-07-01 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian