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.
KeywordsUnitary Gauge Electroweak Theory Vortex Solution Electroweak Model Full Plane
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