Dirac equation in non-Riemannian geometries

We present the Dirac equation in a geometry with torsion and non-metricity balancing generality and simplicity as much as possible. In doing so, we use the vielbein formalism and the Clifford algebra. We also use an index-free formalism which allows us to construct objects that are totally invariant...

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Bibliographic Details
Published inarXiv.org
Main Authors miga, J B, Romero, C
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 15.10.2012
Subjects
Deduction
Dirac equation
Formalism
Mathematics - Mathematical Physics
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
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Summary:We present the Dirac equation in a geometry with torsion and non-metricity balancing generality and simplicity as much as possible. In doing so, we use the vielbein formalism and the Clifford algebra. We also use an index-free formalism which allows us to construct objects that are totally invariant. It turns out that the previous apparatuses not only make possible a simple deduction of the Dirac equation but also allow us to exhibit some details that is generally obscure in the literature.
ISSN:2331-8422
DOI:10.48550/arxiv.1210.1615