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arXiv · 1806.05545

On the Physical Interpretation of the Dirac Wavefunction II: The Massive Dirac Field

Anastasios Y. Papaioannou
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Abstract

Using the language of the Geometric Algebra, we recast the massive Dirac bispinor as a set of Lorentz scalar, vector, bivector, pseudovector, and pseudoscalar fields that obey a generalized form of Maxwell's equations of electromagnetism. This field-based formulation requires careful distinction between geometric and non-geometric implementations of the imaginary unit scalar in the Dirac algebra. This distinction, which is obscured in conventional treatments, allows us to find alternative constructions of the field bilinears and a more natural interpretation of the discrete C, P, and T transformations.

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Anastasios Y. Papaioannou. 2018-06-12. On the Physical Interpretation of the Dirac Wavefunction II: The Massive Dirac Field. https://arxiv.org/abs/1806.05545

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