Generalization of the Majorana equation for real spinors
High Energy Physics - Phenomenology
2016-04-21 v1 High Energy Physics - Theory
Abstract
We show that the Dirac equation for real spinors can be naturally decomposed into a system of two first-order relativistic wave equations. The decomposition separates in a transparent way the real and imaginary parts of the Dirac equation by means of two algebraic differential operators, allowing to describe real spinors in any representation of the Dirac matrices maintaining the reality condition unaltered. In addition, it is shown that the Majorana wave equation is a particular case of the relativistic system of equations deduced in this paper. We also briefly discuss how the formalism can be extended to deal with complex (charged) spinors.
Keywords
Cite
@article{arxiv.1604.05985,
title = {Generalization of the Majorana equation for real spinors},
author = {Ginés R. Pérez Teruel},
journal= {arXiv preprint arXiv:1604.05985},
year = {2016}
}