Relativistic Gauge Invariant Wave Equation of the Electron-Neutrino

• 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 Weak Interactions GAUGE INVARIANCE Electron NEUTRINO CLIFFORD Algebras Magnetic MONOPOLE
• 年，卷（期）: 2014,（11）
• 页码范围: 1001-1022
• 页数: 22页
• 分类号: O1

摘要

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.