Baryonic sphere: A spherical domain wall carrying baryon number

Gudnason, Sven Bjarke; Nitta, Muneto

doi:10.1103/physrevd.89.025012

Cited by 26 publications

(22 citation statements)

References 47 publications

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“…Together with the previous results of Ref. [27], we find two possible incarnations of Skyrmions; one corresponds to a Skyrmion as a spherical domain wall with the S 2 moduli twisted along the S 2 world volume [28], while the other corresponds to a closed vortex string with the U(1) modulus twisted along the S 1 world volume, as illustrated in Figs. 1(c) and 1(d).…”

Section: Introductionsupporting

confidence: 84%

“…the baryon number. It was already found that Skyrmions become baby Skyrmions or lumps when trapped inside a non-Abelian domain wall [25][26][27], and a spherical domain wall with twisted S 2 moduli is a Skyrmion [28], both corresponding to entry (b) in Table I (this relation was generalized to N-dimensional Skyrmions becoming N − 1dimensional Skyrmions inside non-Abelian domain walls in Ref. [26]).…”

Section: Introductionmentioning

confidence: 90%

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Incarnations of Skyrmions

Gudnason

Nitta

2014

Phys. Rev. D

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Skyrmions can be transformed into lumps or baby-Skyrmions by being trapped inside a domain wall. Here we find that they can also be transformed into sine-Gordon kinks when confined by vortices, resulting in confined Skyrmions. We show this both by an effective field theory approach and by direct numerical calculations. The existence of these trapped and confined Skyrmions does not rely on higher-derivative terms when the host solitons are flat or straight. We also construct a Skyrmion as a twisted vortex ring in a model with a sixth-order derivative term.Comment: RevTeX: 27 pages, 8 figures; V2: reference adde

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Section: Introductionsupporting

confidence: 84%

Section: Introductionmentioning

confidence: 90%

Incarnations of Skyrmions

Gudnason

Nitta

2014

Phys. Rev. D

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“…[20], which is possible by changing the sign of the Skyrme term and augment the theory by a sextic derivative term; in this case the domain line with sine-Gordon kinks can still exist.…”

Section: Summary and Discussionmentioning

confidence: 99%

Domain wall Skyrmions

Gudnason

Nitta

2014

Phys. Rev. D

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“…Unboundedness in every other sector follows from an obvious gluing construction. This point was also missed in a recent paper by Gudnason and Nitta which, likewise, studies skyrmions with c 4 < 0 [17].) In [10] a similar analysis is performed, the potential having been tweaked to produce BPS skyrmions with non-shell-like baryon density.…”

Section: Introductionmentioning

confidence: 99%

Near BPS skyrmions and restricted harmonic maps

Speight

2015

Journal of Geometry and Physics

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Motivated by a class of near BPS Skyrme models introduced by Adam, Sánchez-Guillén and Wereszczyński, the following variant of the harmonic map problem is introduced: a map ϕ : (M, g) → (N, h) between Riemannian manifolds is restricted harmonic if it locally extremizes E 2 on its SDiff(M ) orbit, where SDiff(M ) denotes the group of volume preserving diffeomorphisms of (M, g), and E 2 denotes the Dirichlet energy. It is conjectured that near BPS skyrmions tend to restricted harmonic maps in the BPS limit. It is shown that ϕ is restricted harmonic if and only if ϕ * h has exact divergence, and a linear stability theory of restricted harmonic maps is developed, from which it follows that all weakly conformal maps are stable restricted harmonic. Examples of restricted harmonic maps in every degree class R 3 → SU (2) and R 2 → S 2 are constructed. It is shown that the axially symmetric BPS skyrmions on which all previous analytic studies of near BPS Skyrme models have been based, are not restricted harmonic, casting doubt on the phenomenological predictions of such studies. The problem of minimizing E 2 for ϕ : R k → N over all linear volume preserving diffeomorphisms is solved explicitly, and a deformed axially symmetric family of Skyrme fields constructed which are candidates for approximate near BPS skyrmions at low baryon number. The notion of restricted harmonicity is generalized to restricted F -criticality where F is any functional on maps (M, g) → (N, h) which is, in a precise sense, geometrically natural. The case where F is a linear combination of E 2 and E 4 , the usual Skyrme term, is studied in detail, and it is shown that inverse stereographic projection R 3 → S 3 ≡ SU (2) is stable restricted F -critical for every such F .

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Baryonic sphere: A spherical domain wall carrying baryon number

Cited by 26 publications

References 47 publications

Incarnations of Skyrmions

Incarnations of Skyrmions

Domain wall Skyrmions

Near BPS skyrmions and restricted harmonic maps

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