Dirac, Majorana, and Weyl fermions
Abstract
We discuss the Dirac, Majorana, and Weyl fermion fields. The definitions and motivations for introducing each kind of field is discussed, along with the connections between them. It is pointed out that these definitions have to do with the proper Lorentz group and not with any discrete symmetry. The action of discrete symmetries, such as charge conjugation and CP on various types of fermion fields, which are particularly important for Majorana fermions, is also clarified.
 Publication:

American Journal of Physics
 Pub Date:
 May 2011
 DOI:
 10.1119/1.3549729
 arXiv:
 arXiv:1006.1718
 Bibcode:
 2011AmJPh..79..485P
 Keywords:

 Dirac equation;
 fermion systems;
 10.00.00;
 THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 32 pages, LaTeX, no figure. A new section added on the 2component formalism, and the section on "Feynman rules" has been expanded. The changes in the other section are minor