Walls and chains of planar Skyrmions

Journal Article · Fri Feb 15 00:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.045009· OSTI ID:21039173

Harland, Derek; Ward, R S ^[1]

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1. Department of Mathematical Sciences, University of Durham, Durham DH1 3LE (United Kingdom)

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}{sub 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}{sub 3}{sup 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.

• OSTI ID: 21039173
• Journal Information: Physical Review. D, Particles Fields, Vol. 77, Issue 4; Other Information: DOI: 10.1103/PhysRevD.77.045009; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SKYRME POTENTIAL
SOLITONS
VACUUM STATES