Scattering for the Yang-Mills Equations

DOI10.2307/2001309zbMath0692.58037OpenAlexW4246715285WikidataQ126082920 ScholiaQ126082920MaRDI QIDQ3034568

John C. Baez

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001309

zbMATH Keywords

Minkowski spaceYang-Mills equationswave and scattering operatorslightcones

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Partial differential equations of mathematical physics and other areas of application (35Q99) Hyperbolic equations on manifolds (58J45)

Related Items (7)

Conformal scattering on the Schwarzschild metric ⋮ Conformal scattering of the Maxwell-scalar field system on de Sitter space ⋮ The Conformal Approach to Asymptotic Analysis ⋮ On two-dimensional holonomy ⋮ On higher holonomy invariants in higher gauge theory I ⋮ On higher holonomy invariants in higher gauge theory II ⋮ Conserved quantities for the Yang-Mills equations

Cites Work

• Unnamed Item
• Analysis in space-time bundles. I: General considerations and the scalar bundle
• The Yang-Mills equations on the universal cosmos
• Scattering and the geometry of the solution manifold of \(\square f+\lambda f^ 3=0\)
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties
• Non-linear semi-groups
• The global Goursat problem and scattering for nonlinear wave equations
• Reduction of scattering to an invariant finite displacement in an ambient space-time
• Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions

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