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Dynamics of Baby Skyrmions
High Energy Physics - Phenomenology · Submitted 10 Oct 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Specifically we study the effect of spin on the shape of a single baby Skyrmion, the dependence of the forces between two baby Skyrmions on the baby Skyrmions' relative orientation and the forces between two baby Skyrmions when one of them is spinning.
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The abstract, sentence by sentence
Baby Skyrmions are topological solitons in a (2+1)-dimensional field theory which resembles the Skyrme model in important respects. We apply some of the techniques and approximations commonly used in discussions of the Skyrme model to the dynamics of baby Skyrmions and directly test them against numerical simulations. Specifically we study the effect of spin on the shape of a single baby Skyrmion, the dependence of the forces between two baby Skyrmions on the baby Skyrmions' relative orientation and the forces between two baby Skyrmions when one of them is spinning.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Baby Skyrmions are topological solitons in a (2+1)-dimensional field theory which resembles the Skyrme model in important respects. | background 1.00 | 0.06 | 0.03 | asserted 1.00 |
| s1 | We apply some of the techniques and approximations commonly used in discussions of the Skyrme model to the dynamics of baby Skyrmions and directly test them against numerical simulations. | method 0.69 | 0.94 | 0.05 | asserted 0.99 |
| s2 | Specifically we study the effect of spin on the shape of a single baby Skyrmion, the dependence of the forces between two baby Skyrmions on the baby Skyrmions' relative orientation and the forces between two baby Skyrmions when one of them is spinning. | contribution 0.99 | 0.90 | 0.10 | asserted 0.74 |
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The paper
Original abstract
Baby Skyrmions are topological solitons in a (2+1)-dimensional field theory which resembles the Skyrme model in important respects. We apply some of the techniques and approximations commonly used in discussions of the Skyrme model to the dynamics of baby Skyrmions and directly test them against numerical simulations. Specifically we study the effect of spin on the shape of a single baby Skyrmion, the dependence of the forces between two baby Skyrmions on the baby Skyrmions' relative orientation and the forces between two baby Skyrmions when one of them is spinning.
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How the literature uses it
10 arXiv papers cite this in 17 sentences
Papers citing it · 13 sentences without a confident label
Cites it as background 4 papers
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Skyrmions exist also in other dimensions than $3+1$; in $2+1$ dimensions the O(3) baby-Skyrmion model [ref] is analogous to its higher-dimensional cousin and it is described by the homotopy group $π_2(S^2)=ℤ$ along the same lines as mentioned above.
Domain wall Skyrmions · Introduction · 0.94
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Accordingly, the resulting baby skyrmions can be characterized by the topological charge associated with the second homotopy group of the sphere, called skyrmion number [ref] .
Baby Skyrmion in two-component holographic superfluids · Introduction · 0.80
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Baby Skyrmions or planar Skyrmions are $2+1$ dimensional analogues of Skyrmions characterized by the second homotopy group $π_2(S^2)≃ℤ$, typically present in a $O(3)$ sigma model with a potential term and a four derivative term [ref] (see Refs. [ref] as a review).
Relations among topological solitons · Introduction · 1.00
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