Electroweak Parity Breaking by Isospin Deformation and the Copenhagen Vacuum

TL;DR

This paper explores how isospin deformation in the electroweak model can induce parity breaking and lead to a Copenhagen vacuum, connecting different representations of the gauge symmetry through a deformation parameter.

Contribution

It introduces a novel deformation approach linking the electroweak SU(2)*U(1) symmetry to the Standard Model, revealing parity breaking and vacuum structure changes.

Findings

Deformation parameter breaks SU(2)_R and parity.

Mapping relates isospin splitting to a quantum deformation q.

Proposes a Copenhagen type vacuum structure.

Abstract

From the global chiral SU(2)*U(1) that appears in the electroweak Left-Right Model in the fundamental representation, a continuous transition to the representation of the minimal Standard Model is considered in the Cartan subalgebra of the right-handed sector. The connecting parameter is the splitting of U(1)_R quantum numbers. It is a deformation parameter, breaks SU(2)_R and parity and is proportional to an isomagnetic field, leading to Copenhagen type vacuum. A simple mapping on the fundamental representation of SU(2)_q gives the splitting in terms of q.