q-Electroweak (II)

TL;DR

This paper explores a gauged $SU_q(2)$ theory with dual algebras, revealing differences from the Standard Model and proposing new internal degrees of freedom possibly linked to non-locality or solitonic structures.

Contribution

It introduces a novel $SU_q(2)$ gauge theory with dual algebras, distinguishing external fields from the Weinberg-Salam model and proposing speculative internal fields analogous to color.

Findings

External fields match Weinberg-Salam at doublet level

Differences in adjoint representation, e.g., W-boson g-factor

Internal fields are speculative, akin to color fields

Abstract

A gauged $SU_q(2)$ theory is characterized by two dual algebras, the first lying close to the Lie algebra of SU(2) while the second introduces new degrees of freedom that may be associated with non-locality or solitonic structure. The first and second algebras, here called the external and internal algebras respectively, define two sets of fields, also called external and internal. The gauged external fields agree with the Weinberg-Salam model at the level of the doublet representation but differ at the level of the adjoint representation. For example the g-factor of the charged W-boson differs in the two models. The gauged internal fields remain speculative but are analogous to color fields.