Physical fields and Clifford algebras II. Neutrino field

Abstract

The neutrino field is considered in the framework of a complex Clifford algebra $\C_3\cong\C_2\oplus\stackrel{\ast}{\C}_2$. The factor-algebras ${}^{\epsilon}\C_2$ and ${}^{\epsilon}\stackrel{\ast}{\C}_2$, which are obtained by means of homomorphic mappings $\C_3\to\C_2$ and $\C_3\to\stackrel{\ast}{\C}_2$, are identified with the neutrino and antineutrino fields, respectively. In this framework we have natural explanation for absence of right-handed neutrino and left-handed antineutrino.