On harmonic maps into gauge groups

DOI10.1063/1.532649zbMath0934.58017OpenAlexW2066993705MaRDI QIDQ4701591

Qing Ding

Publication date: 10 April 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532649

zbMATH Keywords

harmonic mapsMinkowski planeHilbert loop groups

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Loop groups and related constructions, group-theoretic treatment (22E67) Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)

Cites Work

• The Cauchy problem for the O(N). CP(N-1), and GC(N,p) models
• Instantons in two and four dimensions
• Minimal immersions of spheres into spheres
• Solutions to Yang—Mills equations that are not self-dual
• On the cauchy problem for harmonic maps defined on two-dimensional Minkowski space
• Weak solutions and development of singularities of the SU(2) σ‐model
• Global existence of harmonic maps in minkowski space
• On harmonic maps from R1,1 into Hilbert loop groups

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