Weyl, Majorana and Dirac Fields from a Unified Perspective

Weyl, Majorana and Dirac Fields from a Unified Perspective

A self-contained derivation of the formalism describing Weyl, Majorana and Dirac fields from a unified perspective is given based on a concise description of the representation theory of the proper orthochronous Lorentz group. Lagrangian methods play no role in the present exposition, which covers s...

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Main Author: Andreas Aste
Format: Article
Language:English
Published: MDPI AG 2016-08-01
Series:Symmetry
Subjects:
Lorentz group
symmetry and conservation laws
non-standard-model neutrinos
real and complex spinor representations
Online Access:http://www.mdpi.com/2073-8994/8/9/87
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spelling doaj-e98f72fb830d478e81332cb391117a172020-11-24T21:21:29ZengMDPI AGSymmetry2073-89942016-08-01898710.3390/sym8090087sym8090087Weyl, Majorana and Dirac Fields from a Unified PerspectiveAndreas Aste0Department of Physics, University of Basel, 4056 Basel, SwitzerlandA self-contained derivation of the formalism describing Weyl, Majorana and Dirac fields from a unified perspective is given based on a concise description of the representation theory of the proper orthochronous Lorentz group. Lagrangian methods play no role in the present exposition, which covers several fundamental aspects of relativistic field theory, which are commonly not included in introductory courses when treating fermionic fields via the Dirac equation in the first place.http://www.mdpi.com/2073-8994/8/9/87Lorentz groupsymmetry and conservation lawsnon-standard-model neutrinosreal and complex spinor representations
collection DOAJ
language English
format Article
sources DOAJ
author Andreas Aste
spellingShingle Andreas Aste
Weyl, Majorana and Dirac Fields from a Unified Perspective
Symmetry
Lorentz group
symmetry and conservation laws
non-standard-model neutrinos
real and complex spinor representations
author_facet Andreas Aste
author_sort Andreas Aste
title Weyl, Majorana and Dirac Fields from a Unified Perspective
title_short Weyl, Majorana and Dirac Fields from a Unified Perspective
title_full Weyl, Majorana and Dirac Fields from a Unified Perspective
title_fullStr Weyl, Majorana and Dirac Fields from a Unified Perspective
title_full_unstemmed Weyl, Majorana and Dirac Fields from a Unified Perspective
title_sort weyl, majorana and dirac fields from a unified perspective
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2016-08-01
description A self-contained derivation of the formalism describing Weyl, Majorana and Dirac fields from a unified perspective is given based on a concise description of the representation theory of the proper orthochronous Lorentz group. Lagrangian methods play no role in the present exposition, which covers several fundamental aspects of relativistic field theory, which are commonly not included in introductory courses when treating fermionic fields via the Dirac equation in the first place.
topic Lorentz group
symmetry and conservation laws
non-standard-model neutrinos
real and complex spinor representations
url http://www.mdpi.com/2073-8994/8/9/87
work_keys_str_mv AT andreasaste weylmajoranaanddiracfieldsfromaunifiedperspective
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