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Communications in Mathematical Physics

, Volume 105, Issue 1, pp 85–98 | Cite as

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

  • Jürgen Burzlaff
  • Niall O'Murchadha
Article

Abstract

We study the Cauchy problem for non-abelian Yang-Mills-Higgs theory in (3+1)-dimensional Minkowski spacetime. With suitable conditions on the background fields and a suitable choice of a Sobolev space for the subtracted gauge potentials and the Higgs field, we establish local existence. We then prove global existence by showing that an appropriate norm of the solutions cannot blow up in a finite time.

Keywords

Neural Network Statistical Physic Complex System Cauchy Problem Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Jürgen Burzlaff
    • 1
  • Niall O'Murchadha
    • 2
  1. 1.School of Theoretical PhysicsDublin Institute for Advanced StudiesDublin 4Ireland
  2. 2.Physics DepartmentUniversity CollegeCorkIreland

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