TL;DR
This paper provides a clear overview of Majorana spinors, emphasizing their mathematical structure and significance in theories beyond the Standard Model, including supersymmetry and grand unified theories.
Contribution
It offers an accessible discussion on the formalism of Majorana spinors and their role in modern particle physics models, highlighting the interplay between different mathematical representations.
Findings
Majorana particles are predicted by grand unified theories and supersymmetry.
The formalism is crucial for understanding neutral fermions like neutrinos and photinos.
The paper clarifies the relationship between two-component and four-component spinor formalisms.
Abstract
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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