In this paper the neutrino is described by a particular four-component theory built from two two-component theories. This procedure, which eliminates the arbitrariness that exists in the usual four-component theory, is shown to be useful in formulating a neutrino theory of photons. A photon is then composed of a neutrino and antineutrino which have the appropriate helicities. The photon field is constructed by describing the annihilation and creation of photons in terms of neutrino and antineutrino processes. The electric and magnetic fields so formed are shown to satisfy Maxwell's equations. The operations of space inversion and charge conjugation are defined in terms of the neutrino operators in such a way that the electric and magnetic fields transform in the usual manner under these symmetry operations. The photon operators do not satisfy Bose commutation relations, since additional terms arise. Because of these additional terms, the electric and magnetic fields do not satisfy the usual commutation relations either. However, Planck's radiation law still follows. Although the consequences of the non-Bose commutation relations have not been explored, some experimental implications of the theory are discussed.
- Received 11 September 1963
- Revised 12 October 1964
- Published in the issue dated March 1965
© 1965 The American Physical Society