A Wave Equation including Leptons and Quarks for the Standard Model of Quantum Physics in Clifford Algebra

Claude Daviau; Jacques Bertrand

doi:10.4236/jmp.2014.518210

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A Wave Equation including Leptons and Quarks for the Standard Model of Quantum Physics in Clifford Algebra ()

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DOI: 10.4236/jmp.2014.518210 4,937 Downloads 5,364 Views Citations

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Claude Daviau^*, Jacques Bertrand

Affiliation(s)

Le Moulin de la Lande, Pouillé-les-Coteaux, France.

ABSTRACT

A wave equation with mass term is studied for all fermionic particles and antiparticles of the first generation: electron and its neutrino, positron and antineutrino, quarks u and d with three states of color and antiquarks and . This wave equation is form invariant under the group generalizing the relativistic invariance. It is gauge invariant under the U(1)×SU(2)×SU(3) group of the standard model of quantum physics. The wave is a function of space and time with value in the Clifford algebra Cl_1,5. Then many features of the standard model, charge conjugation, color, left waves, and Lagrangian formalism, are obtained in the frame of the first quantization.

KEYWORDS

Invariance Group, Dirac Equation, Electromagnetism, Weak Interactions, Strong Interactions, Clifford Algebras

Cite this paper

Daviau, C. and Bertrand, J. (2014) A Wave Equation including Leptons and Quarks for the Standard Model of Quantum Physics in Clifford Algebra. Journal of Modern Physics, 5, 2149-2173. doi: 10.4236/jmp.2014.518210.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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