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Communications in Mathematical Physics

, Volume 86, Issue 3, pp 299–320 | Cite as

The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on ℝ3: Part II

  • Clifford Henry Taubes
Article

Abstract

This paper proves that there exists a finite action solution to the SU(2) Yang-Mills-Higgs equations on ℝ3 in the Bogomol'nyi-Prasad-Sommerfield limit which is not a solution to the first order Bogonol'nyi equations. The existence is established using Ljusternik-Šnirelman theory on non-contractible loops in the configuration space.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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References

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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Clifford Henry Taubes
    • 1
  1. 1.Harvard UniversityCambridgeUSA

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