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

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.