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The topological mechanism for generation of vector boson masses in theElectroweak Model is discussed. Vector boson masses are automatically generatedby transformation of the free Lagrangian from the noncompact $R_4$ matterfields space to the compact sphere $ S_3$. This model describes allexperimentally observed fields and does not include the (up to now unobserved)scalar Higgs field. $W$- and $Z$-boson masses are expressed through theparameter $R$ by the same formulas as in the standard case. The free parameter$R$ of the model is now interpreted as the curvature radius of the sphericalmatter fields space. The development of this topological idea in differentaspects, such as transformation to radial coordinates or nonlinearly realizedgauge group or nonlinear partial-trace sigma-model, is briefly reviewed.

Topological origin of vector boson masses in Electroweak Model