Skyrmions confined as beads on a vortex ring

Gudnason, Sven Bjarke; Nitta, Muneto

doi:10.1103/physrevd.94.025008

Cited by 21 publications

(27 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…it winds from 0 to 2πB), then it carries baryon number B. This was actually first found in two-component BECs [9][10][11][12][13][14][15][16][17][18][19], and is shared by this model as well as the above mentioned model with potential V = M 2 |φ 1 | 2 [25].…”

Section: Introductionsupporting

confidence: 63%

Baryonic handles: Skyrmions as open vortex strings on a domain wall

Gudnason

Nitta

2018

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We consider the BEC-Skyrme model which is based on a Skyrme-type model with a potential motivated by Bose-Einstein condensates (BECs) and, in particular, we study the Skyrmions in proximity of a domain wall that inhabits the theory. The theory turns out to have a rich flora of Skyrmion solutions that manifest themselves as twisted vortex rings or vortons in the bulk and vortex handles attached to the domain wall. The latter are linked open vortex strings. We further study the interaction between the domain wall and the Skyrmion and between the vortex handles themselves as well as between the vortex handle and the vortex ring in the bulk. We find that the domain wall provides a large binding energy for the solitons and it is energetically preferred to stay as close to the domain wall as possible; other configurations sticking into the bulk are metastable.We find that the most stable 2-Skyrmion is a torus-shaped braided string junction ending on the domain wall, which is produced by a collision of two vortex handles on the wall, but there is also a metastable configuration which is a doubly twisted vortex handle produced by a collision of a vortex handle on the wall and a vortex ring from the bulk.

show abstract

Section: Introductionsupporting

confidence: 63%

Baryonic handles: Skyrmions as open vortex strings on a domain wall

Gudnason

Nitta

2018

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

“…Let us consider a simple example inspired by ref. [9][10][11][12][13] where a vortex ring is twisted P times, yielding baryon number P :…”

Section: Toroidal Vortexmentioning

confidence: 99%

Linking number of vortices as baryon number

Gudnason

Nitta

2020

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We show that the topological degree of a Skyrmion field is the same as the Hopf charge of the field under the Hopf map and thus equals the linking number of the preimages of two points on the 2-sphere under the Hopf map. We further interpret two particular points on the 2-sphere as vortex zeros and the linking of these zero lines follows from the latter theorem. Finally we conjecture that the topological degree of the Skyrmion can be interpreted as the product of winding numbers of vortices corresponding to the zero lines, summing over clusters of vortices.

show abstract

“…It was noticed that a combination of the a sextic in derivatives of the pion field term and/or the higher-order potential may significantly reduce the binding energy of the solitons [21,22]. On the other hand, various symmetry breaking potentials were considered in the Skyrme model to construct half-Skyrmions [24][25][26][27][28] or various vortex strings [23]. Clearly, all these modifications preserve the topological properties of the Skyrme model.…”

Section: Jhep09(2017)029mentioning

confidence: 99%

Fractional Hopfions in the Faddeev-Skyrme model with a symmetry breaking potential

Samoilenka

Shnir

2017

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We construct new solutions of the Faddeev-Skyrme model with a symmetry breaking potential admitting S 1 vacuum. It includes, as a limiting case, the usual SO(3) symmetry breaking mass term, another limit corresponds to the potential m 2 φ 2 1 , which gives a mass to the corresponding component of the scalar field. However we find that the spacial distribution of the energy density of these solutions has more complicated structure, than in the case of the usual Hopfions, typically it represents two separate linked tubes with different thicknesses and positions. In order to classify these configurations we define a counterpart of the usual position curve, which represents a collection of loops C 1 , C −1 corresponding to the preimages of the points φ = (±1, 0, 0), respectively. Then the Hopf invariant can be defined as Q = link(C 1 , C −1 ). In this model, in the sectors of degrees Q = 5, 6, 7 we found solutions of new type, for which one or both of these tubes represent trefoil knots. Further, some of these solutions possess different types of curves C 1 and C −1 .

show abstract

Skyrmions confined as beads on a vortex ring

Cited by 21 publications

References 51 publications

Baryonic handles: Skyrmions as open vortex strings on a domain wall

Baryonic handles: Skyrmions as open vortex strings on a domain wall

Linking number of vortices as baryon number

Fractional Hopfions in the Faddeev-Skyrme model with a symmetry breaking potential

Contact Info

Product

Resources

About