Quaternion Higgs and the Electroweak Gauge Group

Abstract

We show that, in quaternion quantum mechanics with a complex geometry, the minimal four Higgs of the unbroken electroweak theory naturally determine the quaternion invariance group which corresponds to the Glashow group. Consequently, we are able to identify the physical significance of the anomalous Higgs scalar solutions. We introduce and discuss the complex projection of the Lagrangian density.

14 pages, LaTex, nofigures, to appear in Int.J.of Mod.Phys.A

Cited by in corpus (6)

• Quaternions and Special Relativity
• Quaternionic differential operators
• Quaternionic Electroweak Theory
• Octonionic Representations of GL(8,R) and GL(4,C)
• Quaternionic Quantization Principle in General Relativity and Supergravity
• Quaternionic Electroweak Theory and CKM Matrix