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arXiv · 1011.6286

Representations of the Dirac wave function in a curved spacetime

Mayeul Arminjon·Frank Reifler
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Abstract

The Dirac wave function in a curved spacetime is usually defined as a quadruplet of scalar fields. It can alternatively be defined as a four-vector field. We describe these two representations in a common geometrical framework and we prove theorems that relate together the different representations and the different choices of connections. In particular, the standard Dirac equation in a curved spacetime, with any choice of the tetrad field, is equivalent to a particular realization of the Dirac equation for a vector wave function, in the same spacetime.

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Mayeul Arminjon, Frank Reifler. 2010-11-29. Representations of the Dirac wave function in a curved spacetime. https://doi.org/10.1088/1742-6596%2F306%2F1%2F012061

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