In Lancaster & Burnell book, "QFT for the gifted amateur", chapter 48, it is explained that, with a special set of ##\gamma## matrices, the Majorana ones, the Dirac equation may describe a fermion which is its own antiparticle.(adsbygoogle = window.adsbygoogle || []).push({});

Then, a Majorana Lagrangian is considered:

##\mathcal{L}=\bar{\nu}i\gamma^\mu\partial_{\mu}\nu- ##mass terms

where ##\nu## is for the Majorana fields. This Lagrangian is developed, using the usual Dirac ##\gamma## matrices and not the Majorana ones, and good looking Dirac equations are obtained.

My question is: why using the Dirac matrices to develop the Lagrangian instead of the Majorana ones? If I try the calculation with the Majorana ##\gamma## I obtain odd looking equations that don't look right.

Thank you for any help.

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# A Majorana Lagrangian and Majorana/Dirac matrices

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