The four states of the Massless neutrino with pauli coupling by Spin-Gauge invariance

✍ Scribed by A. O. Barut; J. McEwan

• Publisher: Springer
• Year: 1986
• Tongue: English
• Weight: 264 KB
• Volume: 11
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00417466

✦ Synopsis

The Pauli coupling a ~a ~v ~F,~ is introduced for four-component neutrino states and related to local T 4 ~ SU(2, 2) spin-gauge (not internal symmetry) transformations applied to the massless Dirac equation. The well-known left-right asymmetry for free neutrino helicity states is generalised and discussed for Pauli-coupled neutrinos. An explicit exact solution is obtained for Pauli-coupled neutrino equations in an external free radiation field by the use of the above local spin-gauge transformations. It is also suggested that local SL(2, C) = SU(2, 2) spin-gauge transformations can be used to obtain models of neutral currents for neutrinos.