Dirac, Majorana and Weyl fermions

P. A. M. Dirac, “The Quantum theory of electron,” Proc. Roy. Soc. Lond. A 117

1928

Earlier work this paper cites.

E. Majorana, “Theory Of The Symmetry Of Electrons And Positrons,” Nuovo Cim. 14

1937

Earlier work this paper cites.

K. M. Case, “Reformulation of the Majorana Theory of the Neutrino,” Phys. Rev. 107

1957

Earlier work this paper cites.

W. Pauli, in a letter dated 4 December 1930 to the participants of a conference is Tübingen. An English translation can be found, e.g., in “Dear radioactive ladies and gentlemen,” Phys. Today 31N9

1978

Earlier work this paper cites.

We emphasize that the use of the 2-component notation in practical calculations is only inconvenient

1982

Cited alongside, same era.

J. F. Nieves, “Electromagnetic Properties Of Majorana Neutrinos,” Phys. Rev. D 26

1982

Cited alongside, same era.

B. Kayser and A. S. Goldhaber, “CPT and CP Properties Of Majorana Particles, And The Consequences,” Phys. Rev. D 28

1983

Cited alongside, same era.

B. Kayser, “CPT, CP, And C Phases And Their Effects In Majorana Particle Processes,” Phys. Rev. D 30

1984

Cited alongside, same era.

Such identities can of course be easily verified by considering all possible cases. They can also be proved from the basic properties of Dirac matrices, Eqs. ( 3.5

Cited in the paper.

H. Weyl, “Electron and gravitation,” Z. Phys. 56

1986

Later among the works it cites.

Such instances are so many that it is impossible and useless to have an exhaustive reference. Just to prove that the claim is not vacuous, see e.g., Eqs. (6.14) to (6.16) on page 274 of “Physics of neutrinos and application to astrophysics” by M. Fukugita and T. Yanagida (Springer, 2002)

2002

Later among the works it cites.

For a textbook exposition, see, e.g., R. N. Mohapatra and P. B. Pal, “Massive neutrinos in Physics and Astrophysics”, (World Scientific, 3rd edition, 2004)

2004

Later among the works it cites.

As a recent example, see D. Singh, N. Mobed and G. Papini, “Can gravity distinguish between Dirac and Majorana neutrinos?,” Phys. Rev. Lett. 97

2007

Later among the works it cites.