Electro-Weak Gauge, Weinberg-Salam Angle

Claude Daviau^1*, Jacques Bertrand²

¹Le Moulin de la Lande, 44150, Pouillé-les-Coteaux, France.
²15 Avenue Danielle Casanova, 95210, Saint-Gratien, France.

DOI: 10.4236/jmp.2015.614215                

Abstract

The main aim of this paper is to explain why the Weinberg-Salam angle in the electro-weak gauge group satisfies . We study the gauge potentials of the electro-weak gauge group from our wave equation for electron + neutrino. These potentials are space-time vectors whose components are amongst the tensor densities without derivative built from the three chiral spinors of the wave. The  gauge invariance allows us to identify the four potential space-time vectors of the electro-weak gauge to four of the nine possible vectors. One and only one of the nine derived bivector fields is the massless electromagnetic field. Putting back the four potentials linked to the spinor wave into the wave equation we get simplified equations. From the properties of the second-order wave equation we obtain the Weinberg-Salam angle. We discuss the implications of the simplified equations, obtained without second quantification, on mass, charge and gauge invariance. Chiral gauge, electric gauge and weak gauge are simply linked.

Keywords

Invariance Group, Dirac Equation, Chirality, Electron, Neutrino, Electro-Weak Gauge, Gauge Bosons, Photon, Weinberg-Salam Angle

Conflicts of Interest

The authors declare no conflicts of interest.

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