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arXiv · 1210.1615

Dirac equation in non-Riemannian geometries

J. B. Formiga·C. Romero
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Abstract

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.

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J. B. Formiga, C. Romero. 2012-10-15. Dirac equation in non-Riemannian geometries. https://doi.org/10.1142/s0219887813200120

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