Global baryonic vortices in rotating nuclear matter become energetically viable due to causality-enforced finite size, competing with local vortices under tunable rotation, size, and chemical potential.
Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
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abstract
A lump (2D Skyrmion) can be constructed as a sine-Gordon kink (1D Skyrmion) inside a domain wall in the massive O(3) sigma model. In this paper, we discuss relations between Skyrmions in 2+1 and 3+1 dimensions. We first construct a Bogomol'nyi-Prasad-Sommerfield 3D Skyrmion as a lump inside a non-Abelian domain wall in an O(4) sigma model with a potential term admitting two discrete vacua. Next, we construct a conventional 3D Skyrmion as a baby Skyrmion in a non-Abelian domain wall in the Skyrme model with a modified mass term admitting two discrete vacua. We also construct a spinning 3D Skyrmion as a Q-lump in the non-Abelian domain wall.
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Minimal domain-wall Skyrmions in magnetized QCD are fermions with baryon number one that split from bosonic pairs without energy cost.
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Baryonic vortices in rotating nuclear matter
Global baryonic vortices in rotating nuclear matter become energetically viable due to causality-enforced finite size, competing with local vortices under tunable rotation, size, and chemical potential.
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Fermionic domain-wall Skyrmions of QCD in a magnetic field
Minimal domain-wall Skyrmions in magnetized QCD are fermions with baryon number one that split from bosonic pairs without energy cost.