A direct road to Majorana fields

Details A direct road to Majorana fields A direct road to Majorana fields

2008-06-10

arxiv.org/abs/0806.1690v4

Symmetry 2:1776-1809,2010

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, LATEX, one section expanded and references added

Scientific paper

10.3390/sym2041776

A concise discussion of spin-1/2 field equations with a special focus on Majorana spinors is presented. The Majorana formalism which describes massive neutral fermions by the help of two-component or four-component spinors is of fundamental importance for the understanding of mathematical aspects of supersymmetric and other extensions of the Standard Model of particle physics, which may play an increasingly important role at the beginning of the LHC era. The interplay between the two-component and the four-component formalism is highlighted in an introductory way. Majorana particles are predicted both by grand unified theories, in which these particles are neutrinos, and by supersymmetric theories, in which they are photinos, gluinos and other states.

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