Global solvability of the Cauchy problem for the Yang-Mills-Higgs equations

DOI10.1007/BF01387720zbMath0614.35070MaRDI QIDQ1820328

M. V. Goganov, L. V. Kapitanskij

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemwell-posednesstemporal gaugeYang-Mills-Higgs equations

Mathematics Subject Classification ID

Symmetry breaking in quantum theory (81R40) Constructive quantum field theory (81T08) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Mathematical quantum Yang-Mills theory revisited. II: Mass without mass, On the Yang-Mills mass gap problem

Cites Work

• Unique solvability of the Cauchy problem for the equations of the two- dimensional relativistic chiral fields, taking values in complete Riemann manifolds
• Integrality of the monopole number in SU(2) Yang-Mills-Higgs theory on \({\mathbb{R}}^ 3\)
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof
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