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Abstract

In this chapter we present multivortex solutions in the theory of Weinberg—Salam for unified electromagnetic and weak interactions. In §7.1 we present an illustrative study of a simplified theory describing the interactions of electromagnetism and the W-particles. In §7.2 we consider the electroweak theory of Weinberg—Salam and state an existence theorem for multivortex solutions. In §7.3 we prove the existence theorem through a multiconstrained variational approach. In §7.4 we study an extended electroweak theory containing two Higgs fields, a topic of much recent focus.

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© 2001 Springer Science+Business Media New York

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Yang, Y. (2001). Electroweak Vortices. In: Solitons in Field Theory and Nonlinear Analysis. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6548-9_7

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  • DOI: https://doi.org/10.1007/978-1-4757-6548-9_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2919-8

  • Online ISBN: 978-1-4757-6548-9

  • eBook Packages: Springer Book Archive

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