Yang-Mills and Dirac fields in a bag, existence and uniqueness theorems

DOI10.1007/BF02101557zbMath0826.53057OpenAlexW2052258387MaRDI QIDQ1894839

Günter Schwarz, Jędrzej Śniatycki

Publication date: 3 August 1995

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

Full work available at URL: https://doi.org/10.1007/bf02101557

zbMATH Keywords

Cauchy problemHodge decompositionnonlinear semigroupstime evolutionMIT quark bag boundary conditionsYang-Mills-Dirac system with minimal coupling

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05)

Related Items (7)

Yang-Mills and Dirac fields in a bag, constraints and reduction ⋮ Nonlinear semigroups and the yang-mills equations with the metallic boundary conditions ⋮ Quantization of scalar fields coupled to point masses ⋮ Mathematical quantum Yang-Mills theory revisited. II: Mass without mass ⋮ A Hamiltonian analysis of Yang-Mills equations ⋮ Unnamed Item ⋮ On the spectrum of the Dirac operator under boundary conditions

Cites Work

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• The Cauchy problem for the Yang-Mills 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
• Manifolds, tensor analysis, and applications.
• The existence and uniqueness of solutions of Yang-Mills equations with bag boundary conditions
• Yang-Mills and Dirac fields in a bag, constraints and reduction
• Non-linear semi-groups

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