Topological energy bounds for the Skyrme and Faddeev models with massive pions

Abstract

A topological lower bound on the Skyrme energy which depends explicity on the pion mass is derived. This bound coincides with the previously best known bound when the pion mass vanishes, and improves on it whenever the pion mass is non-zero. The new bound can in particular circumstances be saturated. New energy bounds are also derived for the Skyrme model on a compact manifold, for the Faddeev-Skyrme model with a potential term, and for the Aratyn-Ferreira-Zimerman and Nicole models.

17 pages, 1 figure

References in corpus (7)

• Skyrmions, instantons and holography
• Skyrmions and the alpha-particle model of nuclei
• Light Nuclei of Even Mass Number in the Skyrme Model
• Skyrmions with massive pions
• Topological energy bounds in generalized Skyrme models
• Massive Hopfions
• Hopf solitons in the Nicole model

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• Classically isospinning Skyrmion solutions
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• A model for gauged skyrmions with low binding energies
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• BPS submodels of the Skyrme model
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• Dielectric Skyrmions
• Bogomolny equation for the BPS Skyrme model from the strong necessary conditions
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• Lightly Bound Skyrmions, Tetrahedra and Magic Numbers
• Vacuum Decay Induced by False Skyrmions
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• Topological energy bounds for frustrated magnets
• Near-BPS Skyrmions
• Quantized Skyrmions from SU(4) Weight Diagrams
• Skyrme and Faddeev models in the low-energy limit of 4d Yang-Mills-Higgs theories
• Nudged Elastic Bands and Lightly Bound Skyrmions
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• Incompressible topological solitons
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• Maxwell-Higgs self-dual solitons on an infinite cylinder
• A steady Euler flow on the 3-sphere and its associated Faddeev-Skyrme solution