Matter Fields and Model Building
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We present the geometric model of matter fields in the fibre bundle language. First, we study Yang-Mills-Higgs systems, including the Higgs mechanism, a topological classification of static finite-energy configurations and magnetic monopoles. The remaining part is devoted to model building: we present the Bogomolnyi-Prasad-Sommerfield model, the Seiberg-Witten model and the standard model of elementary particle physics. Moreover, we discuss the method of dimensional reduction and apply it to model building in gauge theory.