The Yang-Mills equations on the universal cosmos

DOI10.1016/0022-1236(83)90049-6zbMath0535.58022OpenAlexW1980789414MaRDI QIDQ791212

Stephen M. Paneitz, Irving E. Segal, Yvonne Choquet-Bruhat

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90049-6

zbMATH Keywords

Cauchy problemtemporal gaugeuniversal cosmosZFM 535.58020ZFM 535.58021

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Geometric quantization (53D50)

Related Items (12)

Scattering for the Yang-Mills Equations ⋮ Yang-Mills-Higgs fields in three space time dimensions ⋮ On the global dynamics of Yang-Mills-Higgs equations ⋮ The asymptotic behavior of Yang-Mills fields in the large ⋮ Unnamed Item ⋮ Large data decay of Yang–Mills–Higgs fields on Minkowski and de Sitter spacetimes ⋮ Global Pointwise Decay Estimates for Defocusing Radial Nonlinear Wave Equations ⋮ Conformal extension of massive wave functions ⋮ Conserved quantities for the Yang-Mills equations ⋮ Analysis in space-time bundles. IV: Natural bundles deforming into and composed of the same invariant factors as the spin and form bundles ⋮ Yang's gravitational theory ⋮ Einstein and Yang-Mills Theories in Hyperbolic Form without Gauge Fixing

Cites Work

• The Cauchy problem for the Yang-Mills equations
• Analysis in space-time bundles. I: General considerations and the scalar bundle
• Analysis in space-time bundles. II: The spinor and form bundles
• Decay of a Yang-Mills field coupled to a scalar field
• The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge
• Some global solutions of the Yang-Mills equations in Minkowski space
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof
• Decay of classical Yang-Mills fields
• Non-linear semi-groups
• One-parameter groups generated by operators in an enveloping algebra
• Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions
• Hypermaximality of Certain Operators on Lie Groups
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