Removable singularities in Yang-Mills fields

DOI10.1090/S0273-0979-1979-14632-9zbMath0416.35026MaRDI QIDQ5895344

Karen K. Uhlenbeck

Publication date: 1979

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

removable singularitiesnonlinear elliptic differential equationslocal regularity theoremgauge theories in quantum field theorylocal behavior of Yang-Mills fields

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Constructive quantum field theory (81T08) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (12)

Action of the loop group on the self-dual Yang-Mills equation ⋮ Isolated singularities in semilinear problems ⋮ Semiclassical functional integrals for self-dual gauge fields ⋮ Surface integrals and monopole charges in non-Abelian gauge theories ⋮ Compactificaton partly proven ⋮ Removable singularities in Yang-Mills fields ⋮ Instantons on multi-Taub-NUT spaces. I: Asymptotic form and index theorem ⋮ On negative-definite cobordisms among lens spaces of type \((m,1)\) and uniformization of four-orbifolds ⋮ Yang-Mills self-dual solutions and the conformal group contraction ⋮ A Chern number for gauge fields on R4 ⋮ On the number of parameters of self-dual Yang-Mills configurations ⋮ On the initial condition for instanton solutions

Cites Work

• Unnamed Item
• The existence of minimal immersions of two-spheres
• Self-duality in four-dimensional Riemannian geometry
• Stability and gap phenomena for Yang-Mills fields

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