scientific article; zbMATH DE number 1009443

zbMath0889.58089MaRDI QIDQ4336678

Günter Schwarz, Jędrzej Śniatycki

Publication date: 14 May 1997

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1997__66_1_109_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Cauchy problemgauge symmetryYang-Mills theorygauge fixingDirac fieldsHilbert Lie group

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global analysis to the sciences (58Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of quantum field theory in general relativity and gravitational theory (83C47)

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Cites Work

• The Cauchy problem for the Yang-Mills equations
• Semigroups of linear operators and applications to partial differential equations
• The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties
• The manifold structure of maps between open manifolds
• Yang-Mills and Dirac fields in a bag, existence and uniqueness theorems
• Hodge decomposition. A method for solving boundary value problems
• Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\)
• An invariance argument for confinement
• Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
• Yang-Mills and Dirac fields in a bag, constraints and reduction
• Non-linear semi-groups
• Les espaces du type de Beppo Levi
• On weighted Beppo Levi functions–Integral representations and behavior at infinity
• The behavior of the laplacian on weighted sobolev spaces
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