Open AccessThis article is
- freely available
Symmetry 2013, 5(4), 271-286; doi:10.3390/sym5040271
A New Route to the Majorana Equation
Institute for Experimental and Applied Physics, Christian Albrechts University at Kiel, Leibnizstraße 11, Kiel 24118, Germany
Received: 13 May 2013; in revised form: 30 August 2013 / Accepted: 12 September 2013 / Published: 26 September 2013
Download PDF Full-Text [289 KB, uploaded 26 September 2013 14:14 CEST]
Abstract: In this paper, we suggest an alternative strategy to derive the complex two-component Majorana equation with a mass term and elucidate the related Lorentz transformation. The Majorana equation is established completely on its own, rather than derived from the chiral Dirac equation. Thereby, use is made of the complex conjugation operator and Pauli spin matrices only. The eigenfunctions of the two-component complex Majorana equation are also calculated. The associated quantum fields are found to describe particles and antiparticles, which have opposite mean helicities and are not their own antiparticles, but correspond to two independent degrees of freedom. The four-component real Dirac equation in its Majorana representation is shown to be the natural outcome of the two-component complex Majorana equation. Both types of equations come in two forms, which correspond to the irreducible left- and right-chiral representations of the Lorentz group.
Keywords: Majorana field; chiral symmetry; Lorentz transformation
Article StatisticsClick here to load and display the download statistics.
Notes: Multiple requests from the same IP address are counted as one view.
MDPI and ACS Style
Marsch, E. A New Route to the Majorana Equation. Symmetry 2013, 5, 271-286.AMA Style
Marsch E. A New Route to the Majorana Equation. Symmetry. 2013; 5(4):271-286.Chicago/Turabian Style
Marsch, Eckart. 2013. "A New Route to the Majorana Equation." Symmetry 5, no. 4: 271-286.