GAUGE THEORY OF FADDEEV–SKYRME FUNCTIONALS

DOI10.1142/S0219199710004020zbMath1208.57016arXiv0907.0899OpenAlexW3102998804MaRDI QIDQ3056471

Sergiy Koshkin

Publication date: 12 November 2010

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0899

zbMATH Keywords

homogeneous spaceHopf invariantHopfiantopological constraintsgauge potentialUhlenbeck compactnessSkyrmion

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Applications of manifolds of mappings to the sciences (58D30) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Hopf invariants (55Q25)

Cites Work

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• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Erratum: Existence of 3D Skyrmions
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• Connections with \(L^ p \)bounds on curvature
• Divergence-free fields: Energy and asymptotic crossing number
• Holonomy and Skyrme's model
• Existence of energy minimizers as stable knotted solitons in the Faddeev model
• Topology of Sobolev mappings. II.
• Fermionic quantization and configuration spaces for the Skyrme and Faddeev-Hopf models
• Analysis of \(S^2\)-valued maps and Faddeev's model
• Homologies of compact Lie groups
• A study of Jacobians in Hardyd–Orlicz spaces
• Topological Solitons
• On a low energy bound in a class of chiral field theories with solitons
• THE PONTRJAGIN–HOPF INVARIANTS FOR SOBOLEV MAPS
• Topology of Sobolev mappings

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