Dirac equation in non-Riemannian geometries

摘要

We present the Dirac equation in a geometry with torsion and non-metricitybalancing generality and simplicity as much as possible. In doing so, we usethe vielbein formalism and the Clifford algebra. We also use an index-freeformalism which allows us to construct objects that are totally invariant. Itturns out that the previous apparatuses not only make possible a simplededuction of the Dirac equation but also allow us to exhibit some details thatis generally obscure in the literature.