Higgsless Electroweak Model and Contraction of Gauge Group

TL;DR

This paper proposes a Higgsless Electroweak Model with spherical geometry that naturally generates vector boson masses without spontaneous symmetry breaking, and explores a contracted gauge group limit simplifying interactions.

Contribution

It introduces a modified Higgsless Electroweak Model with spherical target space geometry and analyzes a contracted gauge group limit simplifying the interaction structure.

Findings

Vector boson masses are generated without spontaneous symmetry breaking.

The contracted model simplifies interactions by nullifying some terms.

Particle masses remain unchanged in the limit model.

Abstract

A modified formulation of the Electroweak Model with 3-dimensional spherical geometry in the target space is suggested. The {\it free} Lagrangian in the spherical field space along with the standard gauge field Lagrangian form the full Higgsless Lagrangian of the model, whose second order terms reproduce the same experimentally verified fields with the same masses as the Standard Electroweak Model. The vector bosons masses are automatically generated, so there is no need in special mechanism of spontaneous symmetry breaking. The limiting case of the modified Higgsless Electroweak Model, which corresponds to the contracted gauge group $SU(2;j)\times U(1)$ is discussed. Within framework of the limit model Z-boson, electromagnetic and electron fields are interpreted as an external ones with respect to W-bosons and neutrino fields. The W-bosons and neutrino fields do not effect on these external fields. The masses of all particles remain the same, but the field interactions in contracted model are more simple as compared with the standard Electroweak Model due to nullification of some terms.