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

• 作者: Claude Daviau Jacques Bertrand
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: INVARIANCE Group Dirac Equation Electromagnetism Weak INTERACTIONS Strong INTERACTIONS CLIFFORD Algebras
• 年，卷（期）: 2014,（18）
• 页码范围: 2149-2173
• 页数: 25页
• 分类号: O1

摘要

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 Cl1,5. Then many features of the standard model, charge conjugation, color, left waves, and Lagrangian formalism, are obtained in the frame of the first quantization.