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Global existence of time-dependent Yang-Mills-Higgs monopoles

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Publication:1077054
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DOI10.1007/BF01212342zbMath0594.58052OpenAlexW1493475890MaRDI QIDQ1077054

Niall O'Murchadha, Jürgen Burzlaff

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01212342


zbMATH Keywords

Cauchy problemYang-Mills-Higgs theorygauge potentials


Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of PDEs on manifolds (58J90) Partial differential equations of mathematical physics and other areas of application (35Q99)


Related Items (3)

Blow-up of the SU(2,C) Yang–Mills fields ⋮ A study of monopole scattering through power series expansions ⋮ Global solutions of nonlinear systems on hyperbolic manifolds



Cites Work

  • The Cauchy problem for the Yang-Mills equations
  • A remark on the scattering of BPS monopoles.
  • 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
  • Non-linear semi-groups
  • Low-energy scattering of non-Abelian magnetic monopoles


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