Background fields and self-dual Skyrmions

Naya, C.; Oleś, K.

doi:10.1103/physrevd.102.025007

Cited by 8 publications

(4 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[32]. A very similar model has been proposed by Ferreira-Shnir [33] and Naya-Oles [34], where the coupling constants are not functions of the fields, but of spatial coordinates, which is in the spirit of the inclusion of impurities [35]. Models with field dependent coupling constants, have long been considered, especially in the field of vortices, see e.g.…”

Section: Introductionmentioning

confidence: 88%

Dielectric Skyrmions

Gudnason

2020

Preprint

View full text Add to dashboard Cite

We consider the dielectric Skyrme model proposed recently, with and without the addition of the standard pion mass term. Then we write down Bogomol'nyi-type energy bounds for both the massless and massive cases. We further show that, except for when taking the strict BPS limit, the Skyrmions are made of 3 orthogonal dipoles that can always be placed in their attractive channel and form bound states. Finally, we study the model numerically and discover that, long before realistic binding energies are reached, the Skyrmions become bound states of well-separated point-particle-like Skyrmions. By going sufficiently close to the BPS limit, we are able to obtain classical binding energies of realistic values compared with experiments.

show abstract

Section: Introductionmentioning

confidence: 88%

Dielectric Skyrmions

Gudnason

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…Now we will show that the phenomenon of incompressible solitons is not confined to one spatial dimension but can occur in higher dimensional solitonic models, as well. Let us consider the socalled dielectric Skyrme model [30] (see also [31] and [32]) which is a variant of the Skyrme model [33], [34] with the coupling constants e and f promoted to field-dependent functions. Specifically, in the minimal version it reads…”

Section: Incompressible Skyrmionsmentioning

confidence: 99%

Incompressible topological solitons

et al. 2020

Self Cite

View full text Add to dashboard Cite

We discover a new class of topological solitons. These solitons can exist in a space of infinite volume like, e.g., R n , but they cannot be placed in any finite volume, because the resulting formal solutions have infinite energy. These objects are, therefore, interpreted as totally incompressible solitons. As a first particular example we consider (1+1) dimensional kinks in theories with a nonstandard kinetic term or, equivalently, in models with the so-called runaway (or vacummless) potentials. But incompressible solitons exist also in higher dimensions. As specific examples in (3+1) dimensions we study Skyrmions in the dielectric extensions both of the minimal and the BPS Skyrme models. In the the latter case, the skyrmionic matter describes a completely incompressible topological perfect fluid.

show abstract

“…Recently, there has been significant development in the topic of topological solitons with BPS properties in the presence of impurities. In this scenario, the background field B(x) can also be understood as a frozen soliton kept in the background [33][34][35][36][37]. .…”

Section: Introductionmentioning

confidence: 99%

“…). Then, from the expression(36) we obtain the numerical solution for the gauge field, shown in Fig (3)…”

mentioning

confidence: 99%

Compact-like vortices in isotropic curved spacetime

Lima,

Almeida

2021

Preprint

View full text Add to dashboard Cite

We introduced a generalized Maxwell-Higgs model in a (3 + 1) isotropic spacetime, and we found their stationary solutions using the BPS approach in curved spacetime. In order to investigate the compact-like vortices, we assume a particular choice for the generalization term.The model is controlled by a potential driven by a single real parameter that can be used to change the vortex solutions profile as they approach their bound values. Resembling some flat spacetime vortex solutions, our model tends to compress the vortices when the parameter l increases. Through numerical analysis, we also show the energy behavior and the magnetic field of the model.

show abstract

Background fields and self-dual Skyrmions

Cited by 8 publications

References 45 publications

Dielectric Skyrmions

Dielectric Skyrmions

Incompressible topological solitons

Compact-like vortices in isotropic curved spacetime

Contact Info

Product

Resources

About