Walls and chains of planar skyrmions

Abstract

In planar (baby) Skyrme systems, there may be extended linear structures which resemble either domain walls or chains of skyrmions, depending on the choice of potential and boundary conditions. We show that systems with a single vacuum, for example with potential V=1-phi_3, admit chain solutions, whereas walls are ruled out by the uniqueness of the vacuum. On the other hand, in double-vacuum systems such as V=1/2*(1-phi_3^2), one has stable wall solutions, but there are no stable chains; the walls may be viewed as the primary objects in such systems, with skyrmions being made out of them.

arXiv comment11 pages, 5 figures Submitted to Phys. Rev. D

References in corpus (14)

• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Multisolitons in a Two-dimensional Skyrme Model
• Skyrmions, Fullerenes and Rational Maps
• The baby Skyrme models and their multi-skyrmions
• Nahm Transform For Periodic Monopoles And N=2 Super Yang-Mills Theory
• Skyrmions with massive pions
• Skyrmions and domain walls in (2+1) dimensions
• A Skyrme lattice with hexagonal symmetry
• Planar Skyrmions at high and low density
• Mass terms in the Skyrme Model
• Periodic Monopoles
• Stabilizing textures with magnetic fields
• Baby Skyrmion Strings

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