TITLE:
Relativistic Gauge Invariant Wave Equation of the Electron-Neutrino
AUTHORS:
Claude Daviau, Jacques Bertrand
KEYWORDS:
Invariance Group, Dirac Equation, Weak Interactions, Gauge Invariance, Electron, Neutrino, Clifford Algebras, Magnetic Monopole
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.11,
June
30,
2014
ABSTRACT: With the right and the left waves of an electron, plus the left wave of
its neutrino, we write the tensorial densities coming from all associations of
these three spinors. We recover the wave equation of the electro-weak theory. A
new non linear mass term comes out. The wave equation is form invariant, then
relativistic invariant, and it is gauge invariant under the U(1)×SU(2), Lie
group of electro-weak interactions. The invariant form of the wave equation has
the Lagrangian density as real scalar part. One of the real equations equivalent
to the invariant form is the law of conservation of the total current.