Quaternionic Electroweak Theory

Abstract

We explicitly develop a quaternionic version of the electroweak theory, based on the local gauge group $U(1,q{)}_L\mid U(1,c{)}_Y$. The need of a complex projection for our Lagrangian and the physical significance of the anomalous scalar solutions are also discussed.

12 pages, Revtex, submitted to J. Phys. G

References in corpus (7)

• Harmonic space and quaternionic manifolds
• The Quaternionic Dirac Lagrangian
• Hidden symmetries, special geometry and quaternionic manifolds
• Composite leptons and quarks constructed as triply occupied quasiparticles in quaternionic quanutm mechanics
• Translations between Quaternion and Complex Quantum Mechanics
• Instanton-Like Transitions at High Energies in (1+1) Dimensional Scalar Models
• Quaternion Higgs and the Electroweak Gauge Group

Cited by in corpus (13)

• Right eigenvalue equation in quaternionic quantum mechanics
• Quaternionic potentials in non-relativistic quantum mechanics
• Quaternionic differential operators
• Dirac solutions for quaternionic potentials
• Matrix Representation of Octonions and Generalizations
• Octonionic Representations of GL(8,R) and GL(4,C)
• Quaternionic Dirac free particle
• Quaternionic scalar field in the real Hilbert space
• Quaternionic fermionic field
• Imaginary in all directions: an elegant formulation of special relativity and classical electrodynamics
• Quaternionic Electroweak Theory and CKM Matrix
• Quaternionic Quantization Principle in General Relativity and Supergravity
• Contemplations on Dirac's equation in quaternionic coordinates