2010/09/08 by Nikolay Gromov, Gromov, Nikolay A.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.1009.1456
openalex publication_date 2010/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The topological mechanism for generation of vector boson masses in the Electroweak Model is discussed. Vector boson masses are automatically generated by transformation of the free Lagrangian from the noncompact R4 matter fields space to the compact sphere S3. This model describes all experimentally observed fields and does not include the (up to now unobserved) scalar Higgs field. W- and Z-boson masses are expressed through the parameter 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 spherical matter fields space. The development of this topological idea in different aspects, such as transformation to radial coordinates or nonlinearly realized gauge group or nonlinear partial-trace sigma-model, is briefly reviewed.