A different approach to electroweak interactions without using any $SU(2)_L$ doublet
Abstract
We know that demanding gauge symmetry of Lagrangian is a "sufficient" condition to describe electroweak interactions, however, in this paper, we have tried to find whether it's a "necessary" condition or not. We have used a different approach to describe electroweak interactions without using any doublet or generator and incorporate some new physics aspects into theory. In this method, we only need local gauge invariance of Lagrangian under a "generalised gauge transformation", where is electric charge (not to be confused with usual transformation). Under this gauge transformation, all charged fields including charged gauge bosons transform as and all neutral gauge bosons transforms as . Nevertheless, symmetry can be restored by imposing constraints on some parameters and thus standard model can be considered as a special case of this model. Hence, it turns out that gauge symmetry is a "sufficient" but "not necessary" condition for electroweak interactions.
Cite
@article{arxiv.1701.00779,
title = {A different approach to electroweak interactions without using any $SU(2)_L$ doublet},
author = {Anirban Karan},
journal= {arXiv preprint arXiv:1701.00779},
year = {2017}
}