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Majorana spinors

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Applying the unitary operator (4.65) to the Dirac spinors in the Dirac representation (4.21) (we use c−1 = 2)


we obtain for the corresponding spinors in the Majorana representation


Recalling that


we see from (4.70) and (4.71) that


In the case of Majorana fermions, it is convenient to redefine the phase of the Dirac spinors via the replacements


For this new choice of phase, Eq. (4.72) is replaced by


Foundations of Quantum Field Theory

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