Isorotating baby Skyrmions

Halavanau, A.; Shnir, Ya.

doi:10.1103/physrevd.88.085028

Cited by 19 publications

(33 citation statements)

References 28 publications

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“…Note that the transformations of the Skyrme field φ are actually isototations around the third axis in the internal space, which (in the absence of the gauge field) were considered in [6,7].…”

Section: Modelmentioning

confidence: 99%

“…The parameter µ 2 in both cases corresponds to the mass of the scalar field. In the case of the double vacuum potential the interaction between the solitons is strongly attractive, the rotational invariance of the multisoliton configurations is unbroken and the isorotation of the system almost does not violate it [6,7].…”

Section: Soliton Solutionsmentioning

confidence: 99%

“…Actually this restriction appears on the same physical reasons as the restriction on the angular frequency of the isospinning baby Skyrmions [6,7], the mass term is necessary to stabilize the soliton.…”

Section: Soliton Solutionsmentioning

confidence: 99%

“…Indeed, this lowdimensional simplified non-linear theory emulates the conventional Skyrme model in (3 + 1) dimensions [1] in many respects. In particular, this planar theory was used to study the processes of scattering of the solitons [4,5] and the effects of isorotations of the multisolitons [6,7]. The low dimensionality of the model significantly simplifies full numerical computations making it possible to exclude any restrictions imposed by the parametrization of the fields.…”

Section: Introductionmentioning

confidence: 99%

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Gauged baby Skyrme model with a Chern-Simons term

Samoilenka

Shnir

2017

Phys. Rev. D

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The properties of the multisoliton solutions of the (2+1)-dimensional Maxwell-Chern-Simons-Skyrme model are investigated numerically. Coupling to the Chern-Simons term allows for existence of the electrically charge solitons which may also carry magnetic fluxes. Two particular choices of the potential term is considered: (i) the weakly bounded potential and (ii) the double vacuum potential. In the absence of the gauge interaction in the former case the individual constituents of the multisoliton configuration are well separated, while in the latter case the rotational invariance of the configuration remains unbroken. It is shown that coupling of the planar multi-Skyrmions to the electric and magnetic field strongly affects the pattern of interaction between the constituents. We analyze the dependency of the structure of the solutions, the energies, angular momenta, electric and magnetic fields of the configurations on the gauge coupling constant g, and the electric potential. It is found that, generically, the coupling to the Chern-Simons term strongly affects the usual pattern of interaction between the skyrmions, in particular the electric repulsion between the solitons may break the multisoliton configuration into partons. We show that as the gauge coupling becomes strong, both the magnetic flux and the electric charge of the solutions become quantized although they are not topological numbers.

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Section: Modelmentioning

confidence: 99%

Section: Soliton Solutionsmentioning

confidence: 99%

Section: Soliton Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Gauged baby Skyrme model with a Chern-Simons term

Samoilenka

Shnir

2017

Phys. Rev. D

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“…To overcome the computational difficulties and learn something about the electromagnetic properties of BPS Skyrme type solitons, one can analyze lower-dimensional analogs, as has been done successfully already in many occasions. In fact, there exists a (2 + 1) dimensional version of the Skyrme model, usually referred to as the baby Skyrme model, which supports solitonic solutions (baby skyrmions) [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] (for the gauged version see [39,40]). This field theory also possesses its BPS limit, whose Lagrangian consists of the (2+1) dimensional version of the Skyrme term and a potential [41][42][43].…”

Section: Jhep11(2014)095mentioning

confidence: 99%

Magnetothermodynamics of BPS baby skyrmions

Adam

Romańczukiewicz

Sánchez-Guillén

et al. 2014

J. High Energ. Phys.

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The magnetothermodynamics of skyrmion type matter described by the gauged BPS baby Skyrme model at zero temperature is investigated. We prove that the BPS property of the model is preserved also for boundary conditions corresponding to an asymptotically constant magnetic field. The BPS bound and the corresponding BPS equations saturating the bound are found. Further, we show that one may introduce pressure in the gauged model by a redefinition of the superpotential. Interestingly, this is related to non-extremal type solutions in the so-called fake supersymmetry method. Finally, we compute the equation of state of magnetized BSP baby skyrmions inserted into an external constant magnetic field H and under external pressure P , i.e., V = V (P, H), where V is the "volume" (area) occupied by the skyrmions. We show that the BPS baby skyrmions form a ferromagnetic medium.

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Oscillons in a perturbed signum-Gordon model

Klimas

Streibel

Wereszczyński

et al. 2018

J. High Energ. Phys.

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Abstract:We study various properties of a perturbed signum-Gordon model, which has been obtained through the dimensional reduction of the called 'first BPS submodel of the Skyrme model'. This study is motivated by the observation that the first BPS submodel of the Skyrme model may be partially responsible for the good qualities of the rational map ansatz approximation to the solutions of the Skyrme model. We investigate the existence, stability and various properties of oscillons and other time-dependent states in this perturbed signum-Gordon model.

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Isorotating baby Skyrmions

Cited by 19 publications

References 28 publications

Gauged baby Skyrme model with a Chern-Simons term

Gauged baby Skyrme model with a Chern-Simons term

Magnetothermodynamics of BPS baby skyrmions

Oscillons in a perturbed signum-Gordon model

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